Multiple choice

Five years ago, Nuri was thrice as old as Sonu. After ten years from now, Nuri will be twice as old as Sonu. Present ages of Nuri and Sonu respectively are 1. 40 years, 20 years 2.30 years, 20 years 3. 20 years, 50 years 4. 50 years, 20 years

  1. 1

  2. 2

  3. 3

  4. 4
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D Correct answer
Explanation

Let N and S be present ages. 5 years ago: (N-5) = 3(S-5). 10 years later: (N+10) = 2(S+10). From first: N = 3S - 10. Substitute into second: 3S - 10 + 10 = 2S + 20. 3S = 2S + 20, so S = 20. Then N = 3(20) - 10 = 50.

AI explanation

Let the present ages of Nuri and Sonu be N and S. Five years ago, N - 5 = 3(S - 5), simplifying to N - 3S = -10. Ten years from now, N + 10 = 2(S + 10), simplifying to N - 2S = 10. Subtracting the first equation from the second gives S = 20, and substituting S gives N = 50. Their present ages are 50 years and 20 years respectively.

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