Multiple choice

Anshu's present age is four times Priya's age and eight-thirteenth of his father's age. The sum of present ages of all the three is 138 years. What is the difference between the present ages of Priya and Anshu's father?

  1. 66 years

  2. 62 years

  3. 64 years

  4. 60 years

  5. None of these
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A Correct answer
Explanation

Let Priya's age = P. Then Anshu's age = 4P. Anshu's age is 8/13 of father's age, so father's age = (13/8) × 4P = 6.5P. Sum: P + 4P + 6.5P = 11.5P = 138, so P = 12. Father's age = 6.5 × 12 = 78 years. Difference = 78 - 12 = 66 years. Option B (62) is incorrect, Option C (64) is incorrect, Option D (60) is incorrect.

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