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? आशुतोष की वर्तमान आयु उसी बेटी की आयु की तीन गुना है और अपनी माँ की आयु की 9/13 गुना है। इन तीनों की वर्तमान आयु का योग 125 वर्ष है । आशुतोष की बेटी की वर्तमान आयु और आशुतोष की माँ की वर्तमान आयु का अंतर क्या है?

  1. 50

  2. 32

  3. 40

  4. 36

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A Correct answer
Explanation

Let daughter's age = d. Ashutosh = 3d. Mother = (13/9) × 3d = (13/3)d. Sum: d + 3d + (13/3)d = 125. Converting: 3d/3 + 9d/3 + 13d/3 = 125, giving 25d/3 = 125, so d = 15. Mother's age = (13/3) × 15 = 65. Difference = 65 - 15 = 50.