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Five consecutive integers are added. The resulting sum is \(14\) more than the greatest of the five integers. What was the smallest of the five integers

 May 16, 2022
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Let the five consecutive integers be:  x,  x + 1,  x + 2,  x + 3,  x + 4

Their sum is:  5x + 10.

Since this sum is 14 more than the greatest:  5x + 10  =  14 + (x + 4)

                                                                         5x + 10  =  18 + x

                                                                                  4x  =  8

                                                                                    x  =  2

 May 16, 2022

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