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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