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 than him at the time of his marriage. What is the present age of Rajan's sister?

• A. $38$ years
• B. $32$ years
• C. $28$ years
• D. $36$ years

Answer 1

The correct option is A $38$ years

Let Rajan's age $8$ years ago be $x$ years.
Then, present age $=(x+8)$ years
$\therefore x+8=\frac{6x}{5}$
$\Rightarrow 5x+40=6x$
$\Rightarrow x=40$
Age of Rajan's sister $8$ years ago $=40-10=30$ years
$\therefore$ Present age of Rajan's sister $=30+8=38$ years