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*Class 10 CBSE Guide NCERT Solutions* > *10th CBSE Maths *

## Class 10 Mathematics - CBSE Guide NCERT Solutions

### Chapter 3 Pair of Linear Equations in Two Variables

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*NCERT Solutions of Math
Textbook Exercise 3.1*

*NCERT Solutions of Math Textbook Exercise 3.1*

Question 1: Aftab tells his
daughter, “Seven 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.” (isn't this interesting?) Represent this situation algebraically and graphically.

__Solution__

*:**Let the present age of Aftab and his daughter are be x and y respectively.*

*Seven years ago,*

*Age of Aftab = x − 7*

*Age of his daughter = y − 7*

*According to the question,*

*( x – 7 ) = 7 (y – 7)*

*⟹*

*x – 7 = 7y – 49*

*⟹*

*x – 7y = – 42 ………………… (1)*

*Three years hence,*

*Age of Aftab = x + 3 and,*

*Age of his daughter = y + 3*

*By the given condition,*

*(x + 3) = 3(y + 3),*

*x – 3y = 6 … … … … … .. (2)*

*Therefore, the algebraic representation is -*

*x – 7y = – 42*

*x – 3y = 6*

*For x – 7y = – 42,*

*x = – 42 + 7y*

*The solution table is -*

*x = 6 + 3y*

*The solution table is -*

Question 2: The coach of a cricket team buys 3 bats and 6 balls for Rs 3900. Later, she buys another bat and 2 more balls of the same kind for Rs 1300. Represent this situation algebraically and geometrically.

__Solution__

*:**Let the cost of a bat be Rs x.*

*And, cost of a ball = Rs y*

*According to the question, the algebraic representation is -*

*3x + 6y = 3900*

*x + 2y = 1300*

*For 3x + 6y = 3900,*

Question 3: The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.

__Solution__

*:**(Student may try to solve taking hint from above problems).*

*The graphical representation will be as follows -*

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