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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?

 Mar 10, 2024
 #1
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(n - 3) + (n - 2) + (n -1) + n + (n + 1) + (n + 2) + (n + 3)  = 7(n + 3)

 

7n = 7(n + 3)

 

7n = 7n + 21

 

No solution

 

cool cool cool

 Mar 10, 2024

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