ICSE & CBSE Board Question Based on Linear Equations in two Variables of RS Aggarwal

In this question following points are given.

(i) If twice the son’s age in years is added to the father’s age the sum is given.

(ii) If twice the father’s age is added to the son’s age the sum is given

You have to find the ages of father and son.

This is the Question Number 44 Of Exercise 3E of RS Aggarwal Solution.

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# If Twice the son’s age in years is added to the father’s age, the sum is 70. But, if twice the father’s age is added to the son’s age, the sum is 95. Find the ages of father and son.

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let the age of the father be x and the age of the son be y

according to the conditions,

2y+x=70 …………..(1)

2x+y=95 …………..(2)

multiplying equation (1) into 2 we get

subtracting equation (2) from equation (3)

4y+2x=140 ………(3)

y+2x= 95

—————

3y = 45

y=15 ………………(4)

substituting (4) in (2) we get

15 +2x=95

2x=80

x=40.

Therefore the age of the father is 40yrs and that of the son is 15 yrs