Question

The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages.

Answer 1

Let the ages of Hari and Harry be 5x years and 7x years.
According to question,
=$\frac{5x+4}{7x+4}=\frac{3}{4}$
$\Rightarrow 4(5x+4)=3(7x+4)$
$\Rightarrow 20x+16=21x+12$
$\Rightarrow 20x-21x=12-16$
$\Rightarrow -x=-4$
$\Rightarrow x=4$
Hence, the age of Hari = 5x = 5 $\times$ 4 = 20 years.
And the age of Harry = 7x = 7 $\times$ 4 = 28 years.