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?

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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