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      Question

      The average of three distinct numbers is 124. The

      average of the smallest and the largest of these numbers is also 124, with the smallest number being 24 less than the largest. Determine the values of these three numbers.
      A 136, 148, 160 Correct Answer Incorrect Answer
      B 124, 136, 148 Correct Answer Incorrect Answer
      C 112, 124, 136 Correct Answer Incorrect Answer
      D 100, 112, 124 Correct Answer Incorrect Answer
      E 98, 110, 132 Correct Answer Incorrect Answer

      Solution

      Let smallest and largest number are ‘x’ and ‘y’, respectively. So, x + y = 124 × 2 = 248 And, y – x = 24 So, x = (248 – 24)/2 = 112 And, y = 112 + 24 = 136 So, third number = 124 × 3 – 248 = 124

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