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      Question

      Present age of ‘A’ is 25% more than that of ‘B’.

      If 14 years hence from now, ‘B’ will be 13 years younger than ‘A’, then find the sum of present ages of ‘A’ and ‘B’.
      A 107 years Correct Answer Incorrect Answer
      B 127 years Correct Answer Incorrect Answer
      C 117 years Correct Answer Incorrect Answer
      D 137 years Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let present age of ‘B’ be ‘x’ years Present age of ‘A’ = x × 1.25 = ‘1.25x’ years ATQ; (x + 14) + 13 = (1.25x + 14) Or, x + 27 = 1.25x + 14 Or, 13 = 0.25x Or, x = 52 So, present age of ‘B’ = 52 years And, present age of ‘A’ = 52 + 13 = 65 years Required sum = 52 + 65 = 117 years

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