Multiple choice

Jayant was 3 times as old as Puneet 8 years ago. He would be 2 times as old as Puneet 8 years from now. Four years ago, what was the ratio of Jayant's age to that of Puneet's age?

  1. 11: 3

  2. 13: 5

  3. 11: 5

  4. 5: 13
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B Correct answer
Explanation

Let Jayant = J, Puneet = P. 8 years ago: J - 8 = 3(P - 8). 8 years from now: J + 8 = 2(P + 8). From first: J = 3P - 16. Substituting in second: 3P - 16 + 8 = 2P + 16, giving P = 24 and J = 56. 4 years ago: J = 52, P = 20. Ratio = 52:20 = 13:5.

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