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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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