Question

The sum of present ages of A and B is 11 times the difference of their ages. 6 years hence, their total ages will be 13 times the difference of their ages. What is the present age of elder one?

• A.
  30 years
• B.
  24 years
• C.
  25 years
• D.
  36 years
• E.
  None of the above

Answer 1

The correct option is D

36 years
A + B = 11 (A - B) $\Rightarrow$ 12b = 10A
$\Rightarrow$ A : B = 6: 5
According to 2nd condition (6x + 6)+(5x + 6) = 13 (6x - 5x)
$\Rightarrow$ x = 6
A's age = 6$\times$6=36