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14 November, 03:04

Multiplying a certain even number by 4 then subtracting 16 gives you the next consecutive even number. Find the original number

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  1. 14 November, 03:33
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    Let 2k represent the original even number (such that k is an integer)

    then 2 (k + 1) is the next consecutive even number.

    4 (2k) - 16 = 2 (k + 1)

    8k - 16 = 2k + 2

    6k = 18

    k = 3

    since 2k represents the original number, then 2 (3) = 6 is the oroginal number

    Answer: 6
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