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      Question

      The average of five consecutive numbers is 23. Find the

      middle number.
      A 18 Correct Answer Incorrect Answer
      B 23 Correct Answer Incorrect Answer
      C 28 Correct Answer Incorrect Answer
      D 30 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the first number be 'x'

      Therefore, the five consecutive numbers will be 'x', (x + 1), (x + 2), (x + 3), (x + 4)

      ATQ:

      x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 5 × 23

      Or, 5x + 10 = 115

      Or, 5x = 115 - 10

      Or, 5x = 105

      Or, x = 105 ÷ 5 = 21

      Therefore, the first number = 21

      Middle number = (x + 2) = 21 + 2 = 23

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