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.

Question

Philoid · Accepted Answer

Let the age of the father and his son be x and y years respectively.

According to question -

x + 2y = 70.....(1)

and,

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

Subtracting equation (2) from [2 × equation (1)], we get -

y = 15

Substituting the value of y in equation (2), we get -

x = 40

Thus, Age of father = 40 years and age of son = 15 years.