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Math Help - [SOLVED] even integer and odd integer

  1. #1
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    [SOLVED] even integer and odd integer

    SAT math page 860 #20 on the OG Book

    If k is a positive integer, which of the following must represent an even integer that is twice the value of an odd integer?

    a) 2k
    b) 2k+3
    c)2k+4
    d)4k+1
    e)4k+2



    Thanks in advance!!
    Last edited by fabxx; October 1st 2008 at 09:33 PM.
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  2. #2
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    The correct answer is e). Why so? Also is this question asking for an even integer or odd integer?
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  3. #3
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    To be clear, the question is asking for an even integer.

    Let's eliminate some options. b) and d) are clearly odd integers, so they cannot be correct answers.

    For a): Half of 2k is k, which may or may not be odd.

    For c): Half of 2k + 4 is k+2, which may or may not be odd.

    For e): Half of 4k + 2 is 2k + 1, which must be odd.

    So e) is the only correct answer.
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