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. A) 8 and 4 years
B. B) 10 and 6 years
C. C) 6 and 2 years
D. D) 12 and 8 years

Answer

C

Explanation

Suppose the ages of A and B are x and y years respectively.
According to question
x = y +4
x+ 16 = 3x
and y+16 =5y
or, x=8 and y=4
2 years ago their ages
A = 8 -2 = 6 years
B = 4 - 2 = 2 years