2 years ago

The sum of five consecutive integers equals 5.5 times the middle integer. Find the integers.

Mathematics

1 answer:

weqwewe [10]2 years ago

7 0

The integers are therefore -2, -2, 0, 1 and 2

<h3>Linear equation</h3>

Let the five consecutive integers be x-3, x-2, x-1, x and x+1

If the sum of five consecutive integers equals 5.5 times the middle integer, then;

x-3+x-2+x-1+x+x+1 = 5.5(x-1)

5x - 5 = 5.5x - 5.5

Collect the like terms

5x-5.5x = -5.5 + 5

-0.5x = -0.5

x = 1

The integers are therefore -2, -2, 0, 1 and 2

Learn more on linear equation here: brainly.com/question/14323743

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