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Question

Aakriti’s present age is 5 times of Poonam’s age. The sum of the present ages of Aakriti, Poonam and Aakriti’s father is 86 yrs. Aakriti’s father’s present age is 5/3 that of Aakriti. What is the difference between Poonam’s present and Aakriti’s father’s present age?

A 44 yrs Correct Answer Incorrect Answer
B 54 yrs Correct Answer Incorrect Answer
C 64 yrs Correct Answer Incorrect Answer
D 46 yrs Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let Aakriti’s age be x yrs. Ponam’s age = x/5 yrs Aakriti’s father’s age = 5/3 x yrs x + x/5 + 5/3 x = 86  43/15  x = 86  x = 30 yrs. Poonam’s present age = 30/5   = 6 yrs Aakriti’s father’s present age = 30 × 5/3   = 50 yrs ∴ Required difference = 50 – 6 = 44 yrs.

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