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The sum of 4 consecutive even integers is-28. What is the least of the 4 integers?

Solution

The sum of 4 consecutive even integers is -28. What is the least of the 4 integers?

Solution

The smallest number : - 10

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

A.T.Q.:

x + x + 2 + x + 4 + x + 6 = - 28

Solve

x + x + 2 + x + 4 + x + 6 = - 28 : x = - 10

x + 2 = - 10 + 2 = - 8

x + 4 = - 10 + 4 = - 6

x + 6 = - 10 + 6 = - 4

Select the smallest solution:

- 10

The smallest number : - 10

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