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2007 AMC 10AProblem 17P16-20~3 minPrint
Number PropertiesPrimesSet up the equation/formula and compute; no special trick neededConsider the largest/smallest element or boundary case

Suppose that mm and nn are positive integers such that 75m=n375m = n^{3} . What is the minimum possible value of m+nm + n ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.