Multiple choice

Ashutosh'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 age of all of them is 125 years. What is the difference between the Ashutosh's daughter's present age and Ashutosh's mother's present age?

  1. 50

  2. 32

  3. 40

  4. 36
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A Correct answer
Explanation

Let daughter's age = d. Then Ashutosh = 3d and mother = (13/9) × 3d = (13/3)d. Sum = d + 3d + (13/3)d = 125. This gives (3d + 9d + 13d)/3 = 125, so 25d = 375 and d = 15. Daughter = 15, mother = (13/3) × 15 = 65. Difference = 65 - 15 = 50.

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