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2001 AMC 10Problem 10P1-10~2 minPrint
Systems of EquationsSet up the equation/formula and compute; no special trick neededExploit symmetry to reduce work or pair up objects

If xx , yy , and zz are positive with xy=24xy = 24 , xz=48xz = 48 , and yz=72yz = 72 , then x+y+zx + y + z is

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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.