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Popular Word Problems >

Three consecutive integers add up to-264. What is the greatest of these integers?

Solution

T h ree co n sec u t i v e in t e g ers a dd u p t o - 264. Wha t i s t h e g re a t es t o f t h ese in t e g ers ?

Solution

The largest number : - 87

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

A.T.Q.:

x + x + 1 + x + 2 = - 264

Solve

x + x + 1 + x + 2 = - 264 : x = - 89

x + 1 = - 89 + 1 = - 88

x + 2 = - 89 + 2 = - 87

Select the largest solution:

- 87

The largest number : - 87

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