Question

The twice the son'sageinyear is added to the fathers age the is 70 but if twice the fathers age is added to the sons age the sum is 95 . then the age of father and son resapectively are

Answer 1

Let us assume, x is the father's age and y is son's age.

Given:

2y + x = 10 ----------------1

Also given:

2x + y = 95 ---------------2

Multiply equation 1 by 2

4y + 2x = 140 -----------------3

Subtract equation 3 from equation 2

3y = 45
y = 15 years

substitute the value of y in equation 1

2 * 15 + x = 70
30 + x = 70
x = 40 years

The age of Father is 40 years and the age of Son is 15 years.