Question

The ages of Rahul and Haroon are in the ratio $5:7$. Four years later the sum of their ages will be $56$ years. What is the present age of rahul?

• A. $14$
• B. $18$
• C. $20$
• D. $11$

Answer 1

The correct option is C $20$

Let the ages of Rahul and Haroon be $5x$ and $7x$.

Four years later, their ages will be $5x+4$ and $7x+4$.

Given, the sum of their ages is $56$.

$\therefore 5x+4+7x+4=56$

$12x=56-8$

$12x=48$

$\therefore x=4$

Therefore, age of Rahul will be $5x=5\times 4=20$ and that of Haroon will be $7x=7\times 4=28$.

Thus, Rahul is $20$ years and Haroon is $28$ years old.