The sum of four consecutive integers is equal to three times the smallest number. What is the sum of the four integers?

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asked Apr 7, 2022 141k views

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Cypheon · Answer 1 · 2022-04-10T09:31:54+0000

Answer:

-18

Explanation:

Let the four consecutive integers be x, (x + 1), (x + 2) & (x + 3)

Smallest integer = x

According to the given condition:

$x + (x + 1) + (x + 2) + (x + 3) = 3x \\ \\ 4x + 6 = 3x \\ \\ 4x - 3x = - 6 \\ \\ x = - 6 \\ \\ Sum\: of\: the\:integers \\=4x + 6 = 4( - 6) + 6 \\ \\ = - 24 + 6 \\ \\ = - 18$

The sum of four consecutive integers is equal to three times the smallest number. What is the sum of the four integers?

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