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    If the sum of five consecutive multiples of 2 is 660, then find the largest number.
    Question

    If the sum of five consecutive multiples of 2 is 660, then find the largest number.

    A.

    125

    B.

    162

    C.

    130

    D.

    136

    Correct option is D

    Given:
    If the sum of five consecutive multiples of 2 is 660.
    Solution:
    Let the five consecutive multiples of 2 be:
    2n, 2n + 2, 2n + 4, 2n + 6, 2n +8
    The sum of these five numbers is given as 660:
    2n +(2n+2) + (2n + 4) + (2n+6) +(2n + 8) = 660
    2n + 2n + 2n + 2n + 2n + 2 + 4 + 6 + 8 = 660
    10n + 20 = 660
    10n = 660-20
    10n = 640
    n = 64
    The largest number among the five multiples is:
    2n + 8 
    = 2(64) + 8
    = 128+8
    = 136
    So, the largest number is 136.
    Thus, the correct answer is (d).

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