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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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