Question
Two years ago from now, the ages of 'A' and 'B' were in
the ratio 5:4, respectively. Eight years ago from now, the ages of 'A' and 'B' were in the ratio 2:1. Present age of 'A' is how much percent more than that of 'B'?Solution
Let the ages of 'A' and 'B', 8 years ago from now was, '2x' years and 'x' years, respectively. ATQ; {(2x + 6)/(x + 6)} = (5/4) Or, 4 X (2x + 6) = 5 X (x + 6) Or, 8x + 24 = 5x + 30 Or, 3x = 6 So, x = 2 So, present age of 'A' = 2 X 2 + 8 = 12 years And present age of 'B' = 2 + 8 = 10 years So, required percentage = {(12 - 10)/10} X 100 = 20%
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