Th present age of A is thrice that of B. Five years from now, A's age will be 8 years more than twice B's age. Find the present age of B (in years)

Options

A. 10
B. 13
C. 12
D. 15

Answer

b

Explanation

Let the present age of B = x years
`rArr` Present age of A = 3x
After 5 years, their ages will be `x + 5 and 3x + 5` years.
Given that `3x + 5 = 2 (x + 5) + 8`
`3x + 5 = 2x + 10 + 8`
`3x - 2x = 18 - 5`
`x = 13` years
`:.` Present age of B is 13 years
Hence, the correct option is (b)