Question

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

Answer 1

Currently, if father's age is x and son's age is y,

then given, x+2y=70 --- (1)

2x+y=95 --- (2)

Multiplying equation (1) with 2 we get, 2x+4y=140 --- (3)

Subtracting equation (2) from (3), we get 3y=45⇒y=15

Substituting y=15 in the equation (2), we get

2x+15=95⇒x=40

Hence, the father is 40 years old and the son is 15 years old.