Question

Kavya is 40 years old and Neetu is 60 years old. How many years ago was the ratio of their ages 3 : 5?

• A. 37 years
• B. 20 years
• C. 10 years
• D. 15 years

Hint:

When solving age-related problems, set up a ratio equation based on the given information and solve for the unknown. Remember to account for the time difference properly.

Answer 1

The Correct Option is C

Let \( x \) years ago, the ratio of their ages was \( 3 : 5 \). So, \[ \frac{40 - x}{60 - x} = \frac{3}{5} \] Cross-multiply: \[ 5(40 - x) = 3(60 - x) \] \[ 200 - 5x = 180 - 3x \] \[ 200 - 180 = 5x - 3x \] \[ 20 = 2x \quad \Rightarrow \quad x = 10 \] Thus, the ratio of their ages was \( 3 : 5 \) 10 years ago.