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    Question

    The average of two consecutive even numbers is 67. If the

    smaller number is increased by 35% and the larger number is decreased by 35%, then find the difference between the numbers obtaine
    A 43.5 Correct Answer Incorrect Answer
    B 44.5 Correct Answer Incorrect Answer
    C 44.9 Correct Answer Incorrect Answer
    D 45.3 Correct Answer Incorrect Answer
    E 46 Correct Answer Incorrect Answer

    Solution

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

    ATQ,
    (2x + 2)/2 = 67 => x + 1 = 67 => x = 66

    Required difference = 1.35 × 66 - 0.65 × 68 = 89.1 - 44.2 = 44.9

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