Multiple choice

2 years ago a mother was 4 times as old as her son, after 6 years from now, her age will become more than double her son's age by 10 years. What is the present ratio of their ages?

  1. 2 : 1

  2. 38 : 11

  3. 19 : 7

  4. 3 : 1
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be M (mother) and S (son). Two years ago: M-2 = 4(S-2) → M = 4S-6. After 6 years: M+6 = 2(S+6) + 10 → M = 2S + 22. Equating: 4S-6 = 2S+22 → 2S = 28 → S = 14, M = 50. Present ratio = 50:14 = 25:7. However 38:11 = 3.45:1 while 25:7 = 3.57:1. Let me verify: M-2 = 4(S-2) gives M = 4S-6. M+6 = 2(S+6)+10 = 2S+22 gives M = 2S+16. 4S-6 = 2S+16 → 2S = 22 → S = 11, M = 38. Ratio = 38:11.

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