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2002 AMC 10B Problem 2

Problem 2 of 25EasierAlgebraArithmetic

For the nonzero numbers a,a, b,b, and c,c, define (a,b,c)=abca+b+c.(a, b, c) = \dfrac{abc}{a+b+c}. What is (2,4,6)?(2, 4, 6)?

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Solution

Substituting directly, (2,4,6)=2⋅4⋅62+4+6=4812=4.(2, 4, 6) = \dfrac{2\cdot4\cdot6}{2+4+6} = \dfrac{48}{12} = 4. Thus, the correct answer is C.
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Tagged: custom operation · fraction

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