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WBCS Preliminary Examination 2018 — General Studies · Question 146 of 200

Q146
ArithmeticAverages & Ages
The difference of the ages of Rohit and Axar is 12 years. The ratio of their ages is 3:5. The age of Axar is
  1. a.32 years
  2. b.24 years
  3. c.28 years
  4. d.30 years

Answer: (D) 30 years

Let the ages be $3x$ and $5x$. The difference is $5x-3x = 2x = 12$, so $x = 6$ and the ages are 18 and 30 years. The key takes Axar as the elder (30 years); the question does not actually say who is older, but 18 is not among the options, so 30 is the only possible answer.