Multiple choice

Present age of Nakul is equal to Dinesh age 8 years ago. Four years from hence, the respective ratio between Nakul’s age and Dinesh’s age will be 4 : 5 at that time . What is Nakul’s present age?

  1. 28

  2. 32

  3. 36

  4. 40

  5. 44
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A Correct answer
Explanation

Let Nakul's age = x, Dinesh's age = y. Given: x = y−8 (Nakul equals Dinesh's age 8 years ago). In 4 years: (x+4)/(y+4) = 4/5. Substituting: (y−8+4)/(y+4) = 4/5, so (y−4)/(y+4) = 4/5. Cross-multiply: 5y−20 = 4y+16, so y=36. Then x = 36−8 = 28.

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