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      Question

      The average of two numbers is 8 more than the smaller

      number among them. If the greater number is 33.33% more than the smaller number, then find the sum of the two numbers.
      A 100 Correct Answer Incorrect Answer
      B 105 Correct Answer Incorrect Answer
      C 110 Correct Answer Incorrect Answer
      D 112 Correct Answer Incorrect Answer
      E 115 Correct Answer Incorrect Answer

      Solution

      Let the smaller number be 3x.
      Greater = 1.333 Ɨ 3x = 4x.
      ATQ, 3x + 8 = (3x + 4x) / 2 = 7x / 2
      ⇒ 6x + 16 = 7x
      ⇒ x = 16
      Sum = 7x = 7 Ɨ 16 = 112.

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