Question
The present average age of Preti, Purnima and Payal is
24 years. If Purnima is five years younger to Payal and Preti is five years elder to Payal, then find the age of Preti (in years) nine years ago.Solution
Present age of Preti, Purnima and Payal = 24 × 3 = 72 years Let present age of Purnima be ‘x’ years. Present age of Payal = (x + 5) years Present age of Preti  = (x + 10) years According to the question, => (x + 10) + x + (x + 5) = 72 => 3x = 57 => x = 19 Preti’s age 9 years ago = (19 + 10) - 9 = 20 years
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