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      Question

      The current age of 'N' is 25% more than the current age

      of 'M'. The present age of 'P' is the average of the present ages of 'M' and 'N'. Three years from now, the combined age of 'M' and 'P' will be 40 years. If the present age of 'N' is given as 'b', determine the age of 'P' after b/4 years from now.
      A 22 years Correct Answer Incorrect Answer
      B 20 years Correct Answer Incorrect Answer
      C 23 years Correct Answer Incorrect Answer
      D 19 years Correct Answer Incorrect Answer
      E 21 years Correct Answer Incorrect Answer

      Solution

      Let the present age of 'M' be '4y' years.

      Present age of 'N' = 1.25 X 4y = '5y' years

      Present age of 'P' = (4y + 5y) ÷ 2 = 4.5y years

      So, 4y + 4.5y = 40 - 3 - 3

      Or, 8.5y = 34

      Or, 'y' = 4

      Now, 'b' = 5 X 4 = 20 years

      Present age of 'P' = 4.5 X 4 = 18 years

      Therefore, required age of 'P' = 18 + (20/4) = 23 years

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