4 years hence the sum of ages of A and B will be 16 years more than the sum of the present ages of B and C. 4 years ago the sum of A’s age and C’s age was 32 years, then what is the present age of C?

Options

A. 18 years
B. 14 years
C. 10 years
D. 16 years

Answer

D

Explanation

According to the question:
Present age of A and C:
A + C = 40 ............(i)
After 4 years, sum of ages of A and B will be 16 years more than the sum of the present ages of B and C.
A + 4 + B + 4 = B + C + 16
A - C = 8 ............(ii)
On solving eq(i) and eq(ii).
2A = 48
A = 24
Then, the present age of C:
24 + C = 40
C = 16 Years