Question

The present ages of Sonal and Manoj are in the ratio $7:5$. Ten years hence, the ratio of their ages will be $9:7$. Find their present ages.

Answer 1

Given the ratio of present ages of Sonal and Manoj$=7:5$

Let the age of Sonal be $7x$ years and age of Manoj be $5x$ years

10 years later their age will $(7x+10)$ and $(5x+10)$

Given ratio of ages after 10 years$=9:7$

So now assume the ages be $9x$ and $7x$

$\therefore 7x+10+5x+10=9x+7x$

$9x-5x=20$

$4x=20$

$x=5$

So, the present age of Sonal$=7x=7\times 5=35years$

and the present age of Sonal$=5x=5\times 5=25years$