Question

If Rajesh’s age were to be the present age of Shivani, their age ratio would be \(3:2\). Then what would be their present age ratio?

• A. 2:3
• B. 3:2
• C. 4:2
• D. 1:2

Answer 1

The Correct Option is A

To find the solution, we first need to determine the current age ratio of Rajesh to Shivani. The problem states that if Rajesh were Shivani's current age, their age ratio would be \(3:2\). Let:

R represent Rajesh's current age and S represent Shivani's current age.

The condition given is: If Rajesh's age were to equal Shivani's current age (i.e., if Rajesh were as old as Shivani is now), the ratio of their ages would be \(3:2\). This can be written as:

\( \frac{S}{R} = \frac{3}{2} \)

This equation indicates that Shivani is older than Rajesh. To find the present age ratio \( \frac{R}{S} \), we invert the given ratio:

\( \frac{R}{S} = \frac{2}{3} \)

Therefore, their current age ratio is \(2:3\).

The correct answer is 2:3.