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6 October, 20:20

If the sum of five consecutive even integers is t, then, in terms of t, what is the greatest integer?

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  1. 6 October, 20:39
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    Let x be first integer the we have the sum:-

    x + x + 2 + x+4 + x+6 + x + 8 = t

    5x + 20 = t

    5x = t - 20

    and x = (t - 20) / 5

    so the greatest integer x + 8 = (t - 20) / 5 + 8 = (t - 20) / 5 + 40/5

    = (t + 20) / 5 answer
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