Solved UPSC CDS/OTA Question
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Q · AgeDifficult · 45s
The sum of the ages of A and B is 96 years. After 8 years, the ratio of their ages will be 4:3. Find A’s present age.
TopicAge
Question Typemultiple choice
DifficultyDifficult
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 = 96 → so b = 96 – a
After 8 years: A’s age = a + 8 B’s age = b + 8 = 104 – a Ratio: (a + 8)/(104 – a) = 4/3
Cross-multiply: 3(a + 8) = 4(104 – a) → 3a + 24 = 416 – 4a → 7a = 392 → a = 56
A’s present age is 56 years.
Final Answer: Option C - 56