{"id":25368,"date":"2022-06-05T03:00:39","date_gmt":"2022-06-04T21:30:39","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=25368"},"modified":"2022-05-23T15:39:27","modified_gmt":"2022-05-23T10:09:27","slug":"ncert-solutions-for-class-10-maths-chapter-3-ex-3-1","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-3-ex-3-1\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1"},"content":{"rendered":"

In this Page, you will learn how to solve questions of Ex 3.1 Class 10 Maths<\/a> NCERT Solutions recommended in CBSE 10th Board Maths Exam syllabus.<\/p>\n

These NCERT Solutions for Class 10 Maths<\/a> Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.1<\/h2>\n

\"NCERT<\/p>\n

Question 1.
\nAftab tells his daughter, \u201cSeven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.\u201d (Isn\u2019t this interesting)? Represent this situation algebraically and graphically.
\nSolution:
\nLet Aftab’s present age be x and his daughter’s present age by y.
\n\u2234 Seven years ago,
\nAftab’s age was x – 7
\nand his daughter’s age was y – 7
\nAccording to question
\n(x – 7) = 7 (y – 7)
\nor, x – 7 = 7y – 49
\nor, x – 7y + 42 = 0 … (i)
\nIn case II
\nThree vears hence
\nAftab’s age will be = x + 3
\nand his daughter’s age will be = y + 3
\nAgain, according to question,
\n(x + 3) = 3(y + 3)
\nor, x + 3 = 3y + 9
\nor, x – 3y – 6 = 0 … (ii)
\nFrom equation (i)
\nx – 7y + 42 = 0
\nx = 7y – 42
\n\"NCERT
\nNow from equation (ii)
\nx – 3y – 6 = 0
\nx = 3y + 6
\n\"NCERT
\nx – 7y + 42=0
\nx – 3y – 6 = 0
\nSubtracting both equations
\n4y = 48
\ny = 12
\nPutting this value in equation (ii)
\nx – 3(12) – 6 = 0
\nx – 36 – 6 = 0
\nx = 2
\nHence the age of Aftab is 42 years and his daughter is 12 years old.<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nThe coach of a cricket team buys 3 bats and 6 balls for \u20b9 3900. Later, she buys another bat and 3 more balls of the same kind for \u20b9 1300. Represent this situation algebraically and geometrically.
\nSolution:
\nLet the cost of each bat = x
\nand the cost of each ball = y
\nThen the algebric representation is given by the following equation.
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 3.
\nThe cost of 2 kg of apples and 1 kg of grapes on a day was found to be \u20b9 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is \u20b9 300. Represent the situation algebraically and geometrically.
\nSolution:
\nLet cost of one kg of apples = \u20b9 x
\nand the cost of one kg of grapes = \u20b9 y
\nThen the algebric representation is given by the following equations :
\n\"NCERT<\/p>\n","protected":false},"excerpt":{"rendered":"

In this Page, you will learn how to solve questions of Ex 3.1 Class 10 Maths NCERT Solutions recommended in CBSE 10th Board Maths Exam syllabus. These NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1 Questions and Answers are prepared by our highly skilled subject experts. …<\/p>\n

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[2],"tags":[],"yoast_head":"\nNCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-3-ex-3-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"In this Page, you will learn how to solve questions of Ex 3.1 Class 10 Maths NCERT Solutions recommended in CBSE 10th Board Maths Exam syllabus. 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