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    Question

    The average of the present ages of R, S and T is 28 years.

    Triple the present age of S is 45 more than twice the present age of R. If T’s age after 6 years will be 25% higher than his current age, determine the present age of R.
    A 12 yrs Correct Answer Incorrect Answer
    B 36 yrs Correct Answer Incorrect Answer
    C 27 yrs Correct Answer Incorrect Answer
    D 15 yrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    Present age of T = 6 / 0.25 = 24 years

    Let present ages of R and S be r and s, respectively.

    So, r + s = 28 × 3 – 24 = 60 ………………(1)

    And, 3s – 2r = 45 ………………(2)

    Equation (1) × 3 – Equation (2), we get

    3r + 3s – 3s + 2r = 60 × 3 – 45

    Or, 5r = 135

    Or, r = 27

    So, present age of R = 27 years

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