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      Question

      The average of two numbers is 9 more than the smaller

      number among them. If the greater number is 125% more than the smaller number, then find the sum of the two numbers.
      A 230 Correct Answer Incorrect Answer
      B 234 Correct Answer Incorrect Answer
      C 240 Correct Answer Incorrect Answer
      D 250 Correct Answer Incorrect Answer
      E 220 Correct Answer Incorrect Answer

      Solution

      Let the smaller number be 8x.
      Greater = 2.25 × 8x = 18x.
      ATQ, 8x + 9 = (8x + 18x) / 2 = 13x
      ⇒ x = 9
      Sum = 26x = 26 × 9 = 234.

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