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CAT 2022 Slot 2 · Quant · Linear Equations · easy

A father's age is currently 3 times his son's age. What is the father's current age?

Single correct option

A father's age is currently 3 times his son's age. After 12 years, the father's age will be twice the son's age. What is the father's current age?
  1. A. 30 years
  2. B. 33 years
  3. C. 36 years
  4. D. 39 years
Show answer and solution

Answer: (C) 36 years

Let son's current age = s, so father's age = 3s. After 12 years: 3s+12 = 2(s+12) → 3s+12 = 2s+24 → s = 12. So father's current age = 3×12 = 36 years. Check: after 12 years, father = 48, son = 24, and indeed 48 = 2×24.
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Original question written in the CAT 2022 Slot 2 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake