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Three consecutive odd integers have a sum of 75. What is the value of the greatest integer?

Solution

Three consecutive odd integers have a sum of 75. What is the value of the greatest integer?

Solution

The largest number : 27

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 = 75

Solve

x + x + 2 + x + 4 = 75 : x = 23

x + 2 = 23 + 2 = 25

x + 4 = 23 + 4 = 27

Select the largest solution:

27

The largest number : 27

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