Question

The present age of Prateek and Arjun are in the ratio 2 : 3. After 4 years, the ratio of their ages will be 4 : 5. The present age of Prateek would be ______.

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

The correct option is B 4

Let the present age of Prateek be $2x$ and Arjun be $3x$.

4 years from now, Prateek 's age = $2x+4$
And, Arjun 's age = $3x+4$

Given that,
$\frac{2x+4}{3x+4}=\frac{4}{5}$
⇒ $10x+20=12x+16$
⇒ $2x=4$
$\therefore$ $x=2$

Pratik's present age = $2x=2\times 2=4$