Question
Twelve years ago, age of P was 24 years less than 1.4
times his present age. The ratio of age of Q, 2 years hence to the age of R, 2 years ago is 5:2. Find the age of Q, if the age of R is 40% of the age of P.Solution
Let the present age of P, Q and R be ‘p’, ‘q’ and ‘r’ years respectively. p – 12 = 1.4 × p – 24 0.4 × p = 12 p = 12/0.4 p = 30 years So, age of r = 30 × 0.4 = 12 years Also, (q + 2)/(r – 2) = 5/2 q + 2 = (5/2) × 10 q = 25 – 2 = 23 years
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