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26 October, 09:38

Three good friends are in the same algebra class. Their scores on a recent test are three consecutive even integers whose sum is 270

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  1. 26 October, 11:25
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    Let the lowest score be x.

    The 3 consecutive even scores are:

    1st score = x

    2nd score = x + 2

    3rd score = x + 4

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    Sum of their score is 270:

    x + (x + 2) + (x + 4) = 270

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    Solve x:

    x + (x + 2) + (x + 4) = 270

    x + x + 2 + x + 4 = 270

    3x + 6 = 270

    3x = 264

    x = 88

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    Find their scores:

    1st score = x = 88

    2nd score = x + 2 = 88 + 2 = 90

    3rd score = x + 4 = 88 + 4 = 92

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    Answer: The scores are 88, 90 and 92
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