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      Question

      The average age of P, Q, R and S is 30 years and the

      average age of P and Q is also 30 years. If S is 8 years older than R, then find the age of R.
      A 26 yrs Correct Answer Incorrect Answer
      B 41 yrs Correct Answer Incorrect Answer
      C 27 yrs Correct Answer Incorrect Answer
      D 33 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Sum of the ages of P, Q, R and S = 30 × 4 = 120 years

      Sum of the ages of P and Q = 30 × 2 = 60 years

      Sum of the ages of R and S = 120 – 60 = 60 years

      Let the age of R be ‘x’ years

      So, age of S = (x + 8) years

      Then, x + x + 8 = 60

      2x = 52

      x = 26

      So, the age of R is 26 years.

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