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Priya is 20 years old and her elder sister Kavya is 30 years old. How many years ago was the ratio of their ages 3 : 5?

1. 5
2. 3
3. 2
4. 7

Correct answer: 5

Solution

Setting (20-x)/(30-x) = 3/5: cross-multiplying gives 100-5x = 90-3x, so 10 = 2x, thus x = 5. Five years ago their ages were 15 and 25, which are in the ratio 3:5.

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