A father's age is three times the sum of the ages of his two children, but 20 years hence his age will be equal to the sum of their ages. Then the father's age is

Options

A. 35 years
B. 40 years
C. 45 years
D. 30 years

Answer

D

Explanation

Let the sum of ages of his two children = x years.
Then, the age of the father = 3x years.
According to the question, `3x + 20 = x +40 `
or, `2x = 20 `
or, `x = 10`
Therefore, the age of father `= 3x = 3 xx 10 `years = 30 years