A father is three times as old his son. Eight years ago, the father was five times as old as his son. What is the present age of the son?

Options

A. A) 12 years
B. B) 14 years
C. C) 16 years
D. D) 20 years

Answer

C

Explanation

Suppose the present age of the son is x years.
Therefore, the present age of father will be 3x years.
According to question
5(x - 8) = 3x - 8
`implies5x - 40 = 3x - 8`
`implies5x - 3x = 40 - 8 `
`implies2x=32`
`:.x=(32)/(2)=16` years