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The sum of three consecutive integers is 27. Find the value of the greatest of the three.

Solution

The sum of three consecutive integers is 27. Find the value of the greatest of the three.

Solution

The largest number : 10

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 = 27

Solve

x + x + 1 + x + 2 = 27 : x = 8

x + 1 = 8 + 1 = 9

x + 2 = 8 + 2 = 10

Select the largest solution:

10

The largest number : 10

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