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

Mathematics

2 answers:

Anastasy [175]3 years ago

7 0

Answer:

-18

Step-by-step explanation:

Georgia [21]3 years ago

7 0

Answer:

-18

Step-by-step explanation:

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

Smallest integer = x

According to the given condition:

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

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