A is older by 4 years to B at one stage. After 16 years of this stage, A will be thrice his present age and B will be five times his present age. How old would A and B be two years before the initially indicated stage?

Options

A. 30 y
B. 25 yr
C. 24 yr
D. 20 yr

Answer

D

Explanation

Suppose Rajendra.s age = `x yr`
and Devendra.s age = `(x + 4) yr `
Then, `(x + 4) + 16 = 3 (x + 4)`
`implies x + 20 = 3x + 12 `
`implies 2x = 8 implies x= 4 yr `
`therefore` Rajendra.s age after 16 yr = `x + 16`
`= 4 + 16 = 20 yr `