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Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 6 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

 Dec 9, 2022
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N, N+1, N+2, N+3, N+4, N+5, N+6 

N+ N+1+ N+2+ N+3+ N+4+ N+5+ N+6=6(N+6)

7N+21=6N+36

N=15

 Dec 9, 2022

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