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      Question

      Nine years ago, the age of R was 3 times the age of S.

      After 5 years, the difference between their ages will be 26 years. Find the present age of R.
      A 60 yrs Correct Answer Incorrect Answer
      B 24 yrs Correct Answer Incorrect Answer
      C 51 yrs Correct Answer Incorrect Answer
      D 48 yrs Correct Answer Incorrect Answer

      Solution

      Let present ages be x and y.
      x тАУ 9 = 3(y тАУ 9)
      x + 5 тАУ (y + 5) = 26
      тЗТ x тАУ y = 26
      From first:
      x тАУ 9 = 3y тАУ 27
      x = 3y тАУ 18
      Substitute:
      3y тАУ 18 тАУ y = 26
      2y = 44
      y = 22
      x = 3(22) тАУ 18 = 48
      Present age of R = 48 years

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