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18 December, 15:35

Five times the greatest of three consecutive even integers is equal to twice the sum of the other two integers plus 42. What are the three integers?

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  1. 18 December, 17:22
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    We can represent the three integers with x, x + 2, and x + 4

    This shows that the integers ascend in two units at a time, which are consecutive even integers. Next we can just translate the equation straight through.

    5 (x+4) = 2 (x + x + 2 + 42)

    5x + 20 = 2 (2x + 44)

    5x + 20 = 4x + 88

    x = 68

    The integers are 68, 70, and 72
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