Multiple choice

5 years ago, age of Sumit was three times the age of his sister. If the present age of Sumit is twice of his sister's present age, then Sumit's present age is

  1. $20$ years
  2. $25$ years
  3. $10$ years
  4. $15$ years
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A Correct answer
Explanation

Let sister's age be S and Sumit's be U. 5 years ago: U-5 = 3(S-5). Present: U = 2S. Substitute: 2S-5 = 3S-15. S = 10. Sumit = 2 * 10 = 20.

AI explanation

Let Sumit's present age be S years and his sister's present age be s years. We are given S equals 2s, and 5 years ago, S minus 5 equaled 3 times (s minus 5). Substituting 2s for S gives 2s minus 5 equals 3s minus 15, which means s equals 10. Therefore, Sumit's present age is 2 times 10, which equals 20 years.

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