Multiple choice

There is a difference in age of Rama and Sudheer by 20 years. 4 years ago, Sudheer was 5 times as old as Rama. What is the present age of Sudheer?

  1. 25 years

  2. 29 years

  3. 32 years

  4. 33 years

  5. 39 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Sudheer's present age = S and Rama's present age = R. Age difference: |S - R| = 20. 4 years ago: (S-4) = 5(R-4). Expanding: S - 4 = 5R - 20, so S = 5R - 16. If S - R = 20, then 5R - 16 - R = 20, giving 4R = 36, so R = 9 and S = 29. If R - S = 20, then R - (5R - 16) = 20, giving -4R = 4, so R = -1 (invalid age). Thus S = 29 years.

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