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      Question

      The average of two numbers is 6 more than the smaller

      number among them. If the greater number is 66.67% more than the smaller number, then find the sum of the two numbers.
      A 42 Correct Answer Incorrect Answer
      B 46 Correct Answer Incorrect Answer
      C 48 Correct Answer Incorrect Answer
      D 50 Correct Answer Incorrect Answer

      Solution

      Let the smaller number be 3x.
      Greater number = 1.6667 Γ— 3x = 5x.
      ATQ, 3x + 6 = (3x + 5x) / 2
      β‡’ 3x + 6 = 4x
      β‡’ x = 6
      Sum = 8x = 8 Γ— 6 = 48.

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