Question

Rajan got married 8 years ago. His present age is $\frac{6}{5}$times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is:

• A. 32 years
• B. 36 years
• C. 38 years
• D. 40 years

Answer 1

The correct option is C

38 years

Let Rajan's present age be x years. Then, his age at the time of marriage = (x - 8) years.

x = $\frac{6}{5}(x-8)$

$\Rightarrow 5x=6x-48$

$\Rightarrow x=48years$

Rajan's sister's age at the time of his marriage = (x - 8) - 10 = (x - 18) = 30 years

$\therefore$ Rajan's sister's present age = (30 + 8) years = 38 years