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      Question

      Six years from now, the sum of the ages of A and C will

      be 84 years. If the ratio of their present ages is 5:3, find the difference between their present ages.
      A 23 yrs Correct Answer Incorrect Answer
      B 12 yrs Correct Answer Incorrect Answer
      C 16 yrs Correct Answer Incorrect Answer
      D 18 yrs Correct Answer Incorrect Answer

      Solution

      Let the present ages of A and C be 5x and 3x years.
      Sum of the present ages = 84 − 12 = 72 years
      ATQ,
      (5x + 3x) = 72
      8x = 72
      So, x = 9
      So, difference between their present ages = (5x − 3x) = 2x = 18 years

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