The present ages of Meenakshi and Farhan are in the ratio $7 : 4$. Six years ago, the ratio of their ages was $5 : 2$. What is Meenakshi's present age?

Explanation

1. 01

   Let the present ages be $7k$ and $4k$.

2. 02

   Six years ago: $\frac{7k - 6}{4k - 6} = \frac{5}{2}$, so $14k - 12 = 20k - 30$.

3. 03

   $6k = 18$, so $k = 3$.

4. 04

   Meenakshi is $7 \times 3 = 21$ years old (Farhan is 12).