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The sum of three consecutive integers is 114. Find the largest of these integers

Solution

The sum of three consecutive integers is 114. Find the largest of these integers

Solution

The largest number : 39

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 = 114

Solve

x + x + 1 + x + 2 = 114 : x = 37

x + 1 = 37 + 1 = 38

x + 2 = 37 + 2 = 39

Select the largest solution:

39

The largest number : 39

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