Question

The ages of Ram and Rahul are in the ratio $2:3$. After $10$ years the ratio become $3:4$. Find their present ages.

Answer 1

Let $2x$ and $3x$ be the present ages of Ram and Rahul.

According to question-

$\frac{2x+10}{3x+10}=\frac{3}{4}$

$4(2x+10)=3(3x+10)$

$8x+40=9x+30$

$\Rightarrow 9x-8x=40-30$

$\Rightarrow x=10$

Therefore,

Present age of Ram $=2x=2\times 10=20\text{years}$

Present age of Rahul $=3x=3\times 10=30\text{years}$