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    Question

    The average of two consecutive even numbers is 85. If

    the smaller number is increased by 20% and the larger number is decreased by 20%, then find the difference between the numbers obtaine
    A 28 Correct Answer Incorrect Answer
    B 32 Correct Answer Incorrect Answer
    C 36 Correct Answer Incorrect Answer
    D 30 Correct Answer Incorrect Answer

    Solution

    Let the two consecutive even numbers be x and x + 2.

    ATQ,
    (x + x + 2)/2 = 85 => x + 1 = 85 => x = 84

    Required difference = 1.2 × 84 - 0.8 × 86 = 100.8 - 68.8 = 32

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