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      Question

      Four years from now, the age of 'A' will be 60% of the

      age of 'B' at that time. The combined present ages of 'A' and 'B' exceed the current age of 'C' by 27 years. The present age of 'C' is 25 years. Determine the age of 'D' three years from now, given that 'D's current age is 45% more than 'A's present age.
      A 28 yrs Correct Answer Incorrect Answer
      B 31 yrs Correct Answer Incorrect Answer
      C 32 yrs Correct Answer Incorrect Answer
      D 35 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the present ages of 'A' be 'm' years. Combined present ages of 'A' and 'B' = 25 + 27 = 52 years Present age of 'B' = (52 - m) years ATQ, (m + 4) = 0.6 X (52 - m + 8) Or, m + 4 = 36 - 0.6m Or, m + 0.6m = 36 - 4 So, 'm' = (32/1.6) = 20 Therefore, required age of 'D' = 1.45m + 3 = 1.45 X 20 + 3 = 32 years

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