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

Answer: (A)

2:3

Answer 2

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 $2 : 3$.