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      Question

      The average of two numbers is 2 more than the smaller

      number among them. If the greater number is 20% more than the smaller number, then find the sum of the two numbers.
      A 40 Correct Answer Incorrect Answer
      B 42 Correct Answer Incorrect Answer
      C 44 Correct Answer Incorrect Answer
      D 46 Correct Answer Incorrect Answer

      Solution

      Let the smaller number be 5x.
      Greater = 1.2 × 5x = 6x.
      ATQ, 5x + 2 = (5x + 6x) / 2
      ⇒ 10x + 4 = 11x
      ⇒ x = 4
      Sum = 11x = 11 × 4 = 44.

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