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Popular Word Problems >

There are 4 consecutive odd integers that sum to 104. What is the greatest of these integers?

Solution

T h ere a re 4 co n sec u t i v e o dd in t e g ers t ha t s u m t o 104. Wha t i s t h e g re a t es t o f t h ese in t e g ers ?

Solution

The largest number : 29

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

A.T.Q.:

x + x + 2 + x + 4 + x + 6 = 104

Solve

x + x + 2 + x + 4 + x + 6 = 104 : x = 23

x + 2 = 23 + 2 = 25

x + 4 = 23 + 4 = 27

x + 6 = 23 + 6 = 29

Select the largest solution:

29

The largest number : 29

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