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Three consecutive odd integers sum to-45. What is the least of the 3 integers?

Solution

Three consecutive odd integers sum to -45. What is the least of the 3 integers?

Solution

The smallest number : - 17

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + x + 2 + x + 4 = - 45

Solve

x + x + 2 + x + 4 = - 45 : x = - 17

x + 2 = - 17 + 2 = - 15

x + 4 = - 17 + 4 = - 13

Select the smallest solution:

- 17

The smallest number : - 17

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