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The sum of 3 consecutive odd integers is-255. What is the greatest of these integers?

Solution

The sum of 3 consecutive odd integers is -255. What is the greatest of these integers?

Solution

The largest number : - 83

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 = - 255

Solve

x + x + 2 + x + 4 = - 255 : x = - 87

x + 2 = - 87 + 2 = - 85

x + 4 = - 87 + 4 = - 83

Select the largest solution:

- 83

The largest number : - 83

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