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MATH / A band is marching in a rectangular formation with dimensions n−2 and n+8 (members). In the second stage of their performance, they re-arrange to form a different rectangle with di…

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problem

A band is marching in a rectangular formation with dimensions n−2n-2 and n+8n + 8 (members). In the second stage of their performance, they re-arrange to form a different rectangle with dimensions nn and 2n−32n - 3, excluding all the drummers. If there are at least 4 drummers, then find the sum of all possible values of nn.
Plain-text mathematical notation (without MathML)
A band is marching in a rectangular formation with dimensions n−2 and n+8 (members). In the second stage of their performance, they re-arrange to form a different rectangle with dimensions n and 2n−3, excluding all the drummers. If there are at least 4 drummers, then find the sum of all possible values of n.
Original LaTeX notation
A band is marching in a rectangular formation with dimensions $n-2$ and $n + 8$ (members). In the second stage of their performance, they re-arrange to form a different rectangle with dimensions $n$ and $2n - 3$, excluding all the drummers. If there are at least 4 drummers, then find the sum of all possible values of $n$.

level

Level 5

type

Algebra

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