Multiple choice

Naimish's present age is three times his daughter's present age and nine-thirteenth of his mother's present age. The sum of the present ages of all of them is 125 years. What is the difference between Naimish's daughter's present age and Naimish's mother's present age?

  1. 25

  2. 32

  3. 40

  4. Can't be determined

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let daughter's age = d. Then Naimish = 3d and Naimish = (9/13) × mother's age, so mother = (13/9) × 3d = (13/3)d. Sum: d + 3d + (13/3)d = 125. Solving: (4d + 13d/3) = 125, so 25d/3 = 125, d = 15. Mother - daughter = (13/3) × 15 - 15 = 65 - 15 = 50 years. Since 50 is not in options A-D, E (None of these) is correct.

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