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A band is marching in a rectangular formation with dimensions n-2 and n+18. In the second stage of their performance, they re-arrange to form a different rectangle with dimensions n and 2n-4 , excluding all the drummers. If there are at least 4 drummers, then find the sum of all possible values of n.

 Dec 21, 2020
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So we know (n-2)(n+18)=n(2n-4). Simplifying gets us n^2+16n-36=2n^2-4n so n^2-20n+36=0. We can factor this equation into (n-2)(n-18) so n=18.

:D

 Jan 7, 2021

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