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      Question

      The sum of the average of two numbers and the third

      number gives 250, 238 and 222 respectively. Find the difference between the greatest and smallest number.
      A 62 Correct Answer Incorrect Answer
      B 56 Correct Answer Incorrect Answer
      C 32 Correct Answer Incorrect Answer
      D 75 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let numbers be x, y, z. 2x + y + z = 250 × 2 = 500 x + 2y + z = 238 × 2 = 476 x + y + 2z = 222 × 2 = 444 4(x + y + z) = 500 + 476 + 444 = 1420 x + y + z = 355 x = 500 – 355 = 145 y = 476 – 355 = 121 z = 444 – 355 = 89 Difference = 145 – 89 = 56

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