CAT 2024 Slot 2 QA Question 22: When Rajesh's age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima's age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima

Question

When Rajesh's age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima's age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima

Accepted Answer

Let the present ages of Garima and Rajesh be $G$ and $R$ respectively. Since Rajesh’s past age becomes Garima’s present age, Rajesh is older, so $R > G$.
Rajesh was $G$ years old $R - G$ years ago. At that time, Garima’s age was:
$G - (R - G) = 2G - R$
Given ratio at that time:
$\dfrac{G}{2G - R} =

When Rajesh's age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima's age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima will become