Multiple choice

The present ages of Nitish, Manish and Rohit are in the ratio 5 : 6 : 11. Seven years later, the sum of their ages will be 87. Find their present ages.

  1. Nitish - 15 yr, Manish - 18 yr, Rohit - 33 yr

  2. Nitish - 20 yr, Manish - 24 yr, Rohit - 44 yr

  3. Nitish - 10 yr, Manish - 18 yr, Rohit - 33 yr

  4. Nitish - 15 yr, Manish - 20 yr, Rohit - 36 yr

  5. None of these
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A Correct answer
Explanation

Let ages be 5x, 6x, 11x. Seven years later, (5x+7) + (6x+7) + (11x+7) = 87. 22x + 21 = 87, 22x = 66, x = 3. Ages: 15, 18, 33.

AI explanation

Let the present ages of Nitish, Manish, and Rohit be 5x, 6x, and 11x. Seven years later, their ages will be 5x + 7, 6x + 7, and 11x + 7, and the sum of these ages will be 87, giving the equation 22x + 21 = 87. Solving for x, we get 22x = 66, so x = 3. Multiplying the ratio parts by 3 gives their present ages as 15 years, 18 years, and 33 years respectively.

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