Question
The present age of P is 20% more than that of Q. P is
6.5 years older than R. Twelve years from now, S will be 9 years older than R. If the present average age of all four individuals is 22 years, find the current age of S.Solution
ATQ,
Let present age of 'Q' be ‘x’ years Present age of 'P' = 1.20 × x = ‘1.2x’ years Present age of 'R' = (1.2x – 6.5) years Present age of 'S' = (1.2x – 6.5 + 9) = (1.2x + 2.5) years ATQ, x + 1.2x + 1.2x – 6.5 + 1.2x + 2.5 = 22 × 4 = 88 4.6x = 92 x = 20 Present age of 'S' = 1.2 × 20 + 2.5 = 26.5 years
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