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Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $\frac{28}{9}$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

 Mar 23, 2024
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Seven integers    n  + n+1   n+2 ....... n+6    =   7n + 21

    equals   6 * (n+6) = 6n+36

 

7n+21  = 6n+36

n = 15    the smallest

 

thanks to ElectricPavlov

 Mar 23, 2024

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