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The sum of 4 consecutive odd integers is-104. What is the least of these integers?

Solution

The sum of 4 consecutive odd integers is -104. What is the least of these integers?

Solution

The smallest number : - 29

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 = - 104

Solve

x + x + 2 + x + 4 + x + 6 = - 104 : x = - 29

x + 2 = - 29 + 2 = - 27

x + 4 = - 29 + 4 = - 25

x + 6 = - 29 + 6 = - 23

Select the smallest solution:

- 29

The smallest number : - 29

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