Let x years ago their ages be (40−x) and (60−x). Then 60−x40−x=53. Cross-multiplying: 5(40−x)=3(60−x), so 200−5x=180−3x, giving 2x=20, so x=10, which matches option 2.
CUET UG 2022 — General Test Arithmetic
P is 40 years old and Q is 60 years old. How many years ago was the ratio of their ages 3 : 5 ?
Held on 24 Aug 2022 · Verified 13 Jul 2026.
5 years
10 years
15 years
20 years
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