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If the sum of four consecutive odd integers is 104, what is the smallest of the four integers?

Solution

If the sum of four consecutive odd integers is 104, what is the smallest of the four integers?

Solution

The smallest number : 23

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 smallest solution:

23

The smallest number : 23

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