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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 17, 2022
 #1
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The answer is -28.

 Oct 17, 2022
 #2
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Change your " 7 times the largest of the seven integers" to 6 times

n + n + 1 + n + 2 + n + 3 + n + 4 + n + 5 + n + 6 =6[n + 6]

7n + 21 =6n + 36

7n - 6n =36 - 21

n = 15 - the smallest of the 7 integers.

 Oct 17, 2022

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