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 the present age of Hari.

• A. 20 years
• B. 21 years
• C. 22 years
• D. 19 years

Answer 1

The correct option is A 20 years

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