8. The sum of four consecutive even integers equals seven times the greatest of the integers. Find the integers.

asked Oct 2, 2020 49.1k views

1 vote

8. The sum of four consecutive even integers equals seven times the greatest of the integers.

Find the integers.

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Answer:

-10, -8, -6, -4

Explanation:

$x + (x+2) + (x+4) + (x+6) = 7(x+6)\\4x + 12 = 7x + 42\\-3x = 30\\x = -10$

Our smallest integer is -10, it then follows that our integers are

-10, -8, -6, -4

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