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2002 AMC 10BProblem 2P1-10~1 minPrint
FunctionsSet up the equation/formula and compute; no special trick needed

For the nonzero numbers a, b, and c, define

D(a,b,c)=abca+b+cD(a,b,c)=\frac{abc}{a+b+c}

Find D(2,4,6)D(2,4,6) .

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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.