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Popular Word Problems >

The sum of three consecutive odd integers is 105. What are the three numbers? List the numbers in order from least to greatest.

Solution

T h e s u m o f t h ree co n sec u t i v e o dd in t e g ers i s 105. Wha t a re t h e t h ree n u mb ers ? L i s t t h e n u mb ers in or d er f ro m l e a s t t o g re a t es t .

Solution

The largest number : 37

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 = 105

Solve

x + x + 2 + x + 4 = 105 : x = 33

x + 2 = 33 + 2 = 35

x + 4 = 33 + 4 = 37

Select the largest solution:

37

The largest number : 37

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