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    Question

    The average of five even numbers is 36. If we replace

    two of these even numbers, 82 and 88, 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

    Solution

    Sum of 5 even numbers = 5 x 36 = 180 Sum of after 2 replacing even numbers by X = 180 - (82 + 88) + X = 180 - 170 + X Now Sum of 4 even numbers = (36 - 4) x 4 = 128 According the question, we get 180 – 170 + X = 128 X = 128 – 180 + 170 X = 118

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