Question:
Kavya is 40 years old and Neetu is 60 years old. How many years ago was the ratio of their ages 3 : 5?
Kavya is 40 years old and Neetu is 60 years old. How many years ago was the ratio of their ages 3 : 5?
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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.
Updated On: Feb 13, 2026
- 37 years
- 20 years
- 10 years
- 15 years
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
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.
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