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      Question

      The average of two numbers is 12 more than the smaller

      number among them. If the greater number is 150% more than the smaller number, then find the sum of the two numbers.
      A 50 Correct Answer Incorrect Answer
      B 52 Correct Answer Incorrect Answer
      C 54 Correct Answer Incorrect Answer
      D 56 Correct Answer Incorrect Answer
      E 58 Correct Answer Incorrect Answer

      Solution

      Let the smaller number be 4x.
      Greater = 2.5 × 4x = 10x.
      ATQ, 4x + 12 = (4x + 10x)/2 = 7x
      ⇒ x = 4
      Sum = 14x = 14 × 4 = 56.

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