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Popular >

the sum of five consecutive integers is 0.find the integers

Solution

the sum of five consecutive integers is 0.find the integers

Solution

The numbers : - 2, - 1, 0, 1, 2

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

Consecutive number 3 : x + 3

Consecutive number 4 : x + 4

A.T.Q.:

x + x + 1 + x + 2 + x + 3 + x + 4 = 0

Solve

x + x + 1 + x + 2 + x + 3 + x + 4 = 0 : x = - 2

x + 1 = - 2 + 1 = - 1

x + 2 = - 2 + 2 = 0

x + 3 = - 2 + 3 = 1

x + 4 = - 2 + 4 = 2

The numbers : - 2, - 1, 0, 1, 2

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