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      Question

      Four years ago, the age of 'P' was 25% less than the

      current age of 'Q'. 9 years ago, the average age of 'Q' and 'R' was 25 years. To find the current age of 'R', given that the average age of all three was 30 years one year ago, you need to calculate 'R's present age.
      A 30 years Correct Answer Incorrect Answer
      B 45 years Correct Answer Incorrect Answer
      C 35 years Correct Answer Incorrect Answer
      D 25 years Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let, the present age of 'Q' be '4x' years So, present age of 'P' = {(4x X 0.75) + 4} = (3x + 4) years And, present age of 'R' = {(25 + 9) X 2} - 4x = (68 - 4x) years According to question; 3x + 4 + 4x + 68 - 4x = (30 X 3) + 3 Or, 3x + 72 = 90 + 3 Or, 3x = 93 - 72 Or, 3x = 21 x = 7 So, present age of 'R' = {68 - (4 × 7)} = (68 - 28) = 40 years

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