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

Let \( R \) be Rajesh's current age and \( S \) be Shivani's current age.

We are given that if Rajesh's age were Shivani's current age, the ratio would be \( 3:2 \). This can be expressed as:

\(\frac{S}{R} = \frac{3}{2}\)     (1)

From this equation, we can express \( R \) in terms of \( S \):

\(R = \frac{2}{3}S\)     (2)

The present age ratio is \( R : S \). Substituting the expression for \( R \) from Equation (2):

\(\frac{2}{3}S : S\)        (3)

Multiplying both sides by 3 to simplify:

\(2S : 3S\)      (4)

Assuming \( S \) is not zero, we can divide both sides by \( S \):

\(2 : 3\)       (5)

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