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    Question

    The average of five even numbers is 68. If we replace

    two of these even numbers, 84 and 92, with a single even number X, the new average decreases by 4. What is the value of X?
    A 92 Correct Answer Incorrect Answer
    B 118 Correct Answer Incorrect Answer
    C 126 Correct Answer Incorrect Answer
    D 90 Correct Answer Incorrect Answer
    E 88 Correct Answer Incorrect Answer

    Solution

    Sum of 5 even numbers = 5 x 68 = 340 Sum of after 2 replacing even numbers by X = 340 - (84 + 92) + X = 340 - 176 + X Now Sum of 4 even numbers = (68 - 4) x 4 = 256 According the question, we get 340 – 176 + X = 256 X = 256 – 340 + 176 X = 92

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