{"id":561,"date":"2022-08-17T02:49:46","date_gmt":"2022-08-17T02:49:46","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=561"},"modified":"2024-02-21T06:32:54","modified_gmt":"2024-02-21T06:32:54","slug":"ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-4","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-4\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 11 Algebra Ex 11.4"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 6 Maths<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter &#8211; 11 (Algebra)<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 6 Mathematics <strong>Chapter &#8211; 11 Algebra <\/strong>Exercise 11.4 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-11\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_11_Algebra\" style=\"color: #000000;\">Chapter 11: Algebra<\/span><\/strong><\/span><\/h4>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 11.1<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 11.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 11.3<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 11.5<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 11.4<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Answer the following:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-582 alignright\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.4Q1.png\" alt=\"NCERT Class 6 Math Solution\" width=\"274\" height=\"385\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.4Q1.png 274w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-11.4Q1-214x300.png 214w\" sizes=\"auto, (max-width: 274px) 100vw, 274px\" \/><\/strong>(a) Take Sarita\u2019s present age to be y years<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(i) What will be her age 5 years from now?<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(ii) What was her age 3 years back?<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(iii) Sarita\u2019s grandfather is 6 times her age. What is the age of her grandfather?<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(iv) Grandmother is two year younger than grandfather. What is grandmother\u2019s age?<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(v) Sarita\u2019s father\u2019s age is 5 years more than 3 times Sarita\u2019s age. What is her father\u2019s age?<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) The length of a rectangular hall is 4 meters less than three times the breadth of the hall. What is the length, if the breadth is b meters?<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) A rectangular box has height h cm. Its length is 5 times the height and breadth is 10 cm less than the length. Express the length and the breadth of the box in terms of the height.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(d) Meena, Beena and Reena are climbing the steps to the hill top. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of steps to the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(e) A bus travels at v km per hour. It is going from Daspur to Beespur. After the bus has travelled 5 hours, Beespur is still 20 km away. What is the distance from Daspur to Beespur? Express it using v.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<br \/>\n(a)<\/strong> Sarita\u2019s age is given y years.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(i) After 5 years from now, her age will be (y + 5) years.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(ii) 3 years back from now, she was (y \u2013 3) years of age.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(iii) Age of her grandfather = 6y years.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(iv) Age of her grandmother = (6y \u2013 2) years.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(v) Sarita\u2019s father\u2019s age = (3y + 5) years.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong> Let T be the length of the rectangular hall<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 length = (3b \u2013 4) metre<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Where b represents the breadth.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)<\/strong> Height of the rectangular box is \u2018h\u2019<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Length = 5h cm<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Breadth = (5h \u2013 10) cm.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d)<\/strong> Meena is at step s.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Beena is at (s + 8) steps and Leena is at (s \u2013 7) steps.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Total number of steps on to the hill top = (4s \u2013 10)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e)<\/strong> Distance travelled by Bus in 5 hours = 5v km.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Distance from Daspur to Beespur = (5v + 20) km.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Change the following statements using expressions into statements in ordinary language.<br \/>\n<\/strong><strong>(For example, Given Salim scores r runs in a cricket match, Nalin scores (r + 15) runs. In ordinary language \u2013 Nalin scores 15 runs more than Salim.)<br \/>\n<\/strong>(a) A notebook costs \u20b9 p. A book costs \u20b9 3p<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Tony put q marbles on the table. He has 8 q marbles in his box.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) Our class has n students. The school has 20 n students.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(d) Jaggu is z years old. His uncle is 4z years old and his aunt is (4z \u2013 3) years old.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(e) In an arrangement of dots there are r rows. Each row contains 5 dots<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) A book costs 3 times the costs of a notebook.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Tony\u2019s box contains 8 times the number of marbles on the table.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) Total number of students in the school is 20 times that of our class.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(d) Jaggu\u2019s uncle is 4 times older than Jaggu and Jaggu\u2019s aunt is 3 years younger than his uncle.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(e) The total number of dots is 5 times the number of rows<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. <\/strong>(a) Given Mannu\u2019s age to be x years, Can you guess what (x \u2013 2) may show?<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(<strong>Hint :<\/strong> Think of Mannu\u2019s younger brother) can you guess what (x + 4) may now? What (3x + 7) may show?<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) Given Sara\u2019s age today to bey years. Think of her age in the future or in the past. What will the following expression indicate? <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">y + 7, y \u2013 3, y + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?4\\frac{1}{2}\" alt=\"4\\frac{1}{2}\" align=\"absmiddle\" \/>, y \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{1}{2}\" alt=\"2\\frac{1}{2}\" align=\"absmiddle\" \/>\u00a0.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) Given n students in the class like football, what may 2n show? What may <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{n}{2}\" alt=\"\\frac{n}{2}\" align=\"absmiddle\" \/>\u00a0show? <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(<strong>Hint :<\/strong> Think of games other than football).<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong> Given that Mannu\u2019s age = x years. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 (x -2) years may be the age of her younger brother or younger sister. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(x + 4) years show the age of her elder brother or elder sister.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(3x + 7) years may be the age of her father, mother or uncle.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong> y represents the age of Sara in years.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 y + 7 shows her future age.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">y \u2013 3 shows her past age.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">y + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?4\\frac{1}{2}\" alt=\"4\\frac{1}{2}\" align=\"absmiddle\" \/> show her future age i.e., the age after z four and half years.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">y \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{1}{2}\" alt=\"2\\frac{1}{2}\" align=\"absmiddle\" \/>\u00a0 shows her past age i.e., the age before two and half years.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)<\/strong> Number of students who like football = n <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 2n = twice the number of football players may like to play cricket.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{n}{2}\" alt=\"\\frac{n}{2}\" align=\"absmiddle\" \/> = half of the number of football 2 players may like to play basket ball.<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; background-color: #f2e079; text-align: center;\"><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>NCERT Class 6<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 6 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Maths<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-sanskrit\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\">NCERT Solutions Class 6 Sanskrit<\/span><\/strong><\/span><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 6 Maths Chapter &#8211; 11 (Algebra) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 11 Algebra Exercise 11.4 has been provided here to help the students in solving the questions from this exercise. Chapter 11: Algebra NCERT Solution Class 6 Maths Exercise &#8211; 11.1 NCERT Solution Class 6 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[25,26,4,5],"class_list":["post-561","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-chapter-11-algebra-in-english","tag-ncert-solutions-class-6-maths-chapter-11-in-english","tag-ncert-solutions-class-6-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.5) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 6 Maths Chapter 11 Algebra Ex 11.4 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 11 Algebra Exercise 11.4 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-11-algebra-ex-11-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 6 Maths Chapter 11 Algebra Ex 11.4\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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