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20 March, 10:51

Find 3 consecutive even integers if their sum decreased by 10 equals - 22

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  1. 20 March, 11:04
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    Three consecutive even integers can be represented by x, (x+2), and (x+4).

    (x + (x + 2) + (x + 4)) - 10 = - 22 Get rid of the parentheses

    x + x + 2 + x + 4 - 10 = - 22 Combine like terms (x + x + x) and (2 + 4 - 10)

    3x - 4 = - 22 Add 4 to both sides

    3x = - 18 Divide

    x = - 6

    Check you work.

    x = - 6

    x + 2 = - 4

    x + 4 = - 2

    (-6 - 4 - 2) - 10 = 22

    -12 - 10 = - 22

    So, your three integers are - 6, - 4, and - 2.
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