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

User Ephrion
by
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2 Answers

16 votes
16 votes

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

User MikO
by
3.2k points
13 votes
13 votes

Answer:

-18

Explanation:

The sum of four consecutive integers is equal to three times the smallest number. What-example-1
User NareshRavva
by
2.9k points