Solved UPSC CDS/OTA Question
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Q · AgeModerate · 45s
The sum of the ages of A and B is 62 years. After 8 years, the ratio of their ages will be 7:6. Find A’s present age.
TopicAge
Question Typemultiple choice
DifficultyModerate
Marking+1 / −0.33
From TestChapter Test 1 (Chapter Test)
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained - no skipped algebra.
Let A's current age be a, and B's be b. Given: a + b = 62 → b = 62 – a
After 8 years: A’s age = a + 8 B’s age = b + 8 = (62 – a) + 8 = 70 – a Ratio: (a + 8)/(70 – a) = 7/6
Cross-multiply: 6(a + 8) = 7(70 – a) → 6a + 48 = 490 – 7a → 13a = 442 → a = 34
A’s present age is 34 years.
Final Answer: Option C - 34