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Pearl writes down seven consecutive integers and adds them up. The sum of the integers is equal to 7 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

 Oct 19, 2022
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Pearl writes down seven consecutive integers and adds them up. The sum of the integers is equal to 7 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?  

 

 

(X) + (X + 1) + (X + 2) + (X + 3) + (X + 4) + (X + 5) + (X + 6)  =  (7) • (X + 6)  

 

                                                                                7X + 21  =  7X + 42  

 

There seems to be something wrong here.  

.

 Oct 19, 2022

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