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      Question

      Four years ago from now, the ages of 'A' and 'B' were

      in the ratio 7:5, respectively. Ten 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'?
      A 15% Correct Answer Incorrect Answer
      B 30.42% Correct Answer Incorrect Answer
      C 20% Correct Answer Incorrect Answer
      D 28.57% Correct Answer Incorrect Answer
      E 42% Correct Answer Incorrect Answer

      Solution

      Let the ages of 'A' and 'B', 10 years ago from now was, '2x' years and 'x' years, respectively. ATQ; {(2x + 6)/(x + 6)} = (7/5) Or, 5 X (2x + 6) = 7 X (x + 6) Or, 10x + 30 = 7x + 42 Or, 3x = 12 So, x = 4 So, present age of 'A' = 2 X 4 + 10 = 18 years And present age of 'B' = 4 + 10 = 14 years So, required percentage = {(18 - 14)/14} X 100 = 28.57%Β 

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