Solved UPSC CDS/OTA Question
A solved UPSC CDS/OTA PYQ - decoded step-by-step.
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Q · AgeModerate · 45s
The sum of ages of A and B is 50 years. Four years ago, the ratio of their ages was 3:2. Find the present age of A.
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 present age be x, so B’s age is 50 − x.
Four years ago:
A’s age = x − 4
B’s age = 46 − x
Given:
(x − 4) / (46 − x) = 3 / 2
Cross-multiplying:
2(x − 4) = 3(46 − x)
2x − 8 = 138 − 3x
5x = 146
x = 29.2
Final Answer: A’s present age is 29.2 years.
Final Answer: Option A - 29 years