Question:
The ages of sonu and Monu are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.
Solution:
It is given that the ratio of the ages of Sonu and Monu is $7: 5$.
Let the present ages of Sonu and Monu be $7 x$ and $5 x$ years.
After ten years:
Age of Sonu $=7 \mathrm{x}+10$ years
Age of Monu $=5 \mathrm{x}+10$ years
According to the question,
$\frac{7 x+10}{5 x+10}=\frac{9}{7}$
or $49 x+70=45 x+90$
or $49 x-45 x=90-70$
or $4 x=20$
or $x=5$
$\therefore$ Present age of Sonu $=7 \times 5=35$ years.
Present age of Monu $=5 \times 5=25$ years.