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

 Jul 17, 2024
 #1
avatar+1950 
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(n3)+(n2)+(n1)+n+(n+1)+(n+2)+(n+3)=(28/9)(n+3)7n=(28/9)(n+3)7n=(28/9)n+28/363n=28n+8463n28n=8435n=84n=84/35=12/5(n3)=(12/53)=3/5

 

This isn't an integer, but

the answer is 3/5

 

Thanks! :)

 Jul 17, 2024
edited by NotThatSmart  Jul 17, 2024

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