AMC10 2002 B

AMC10 2002 B · Q2

AMC10 2002 B · Q2. It mainly tests Fractions.

For the nonzero numbers $a$, $b$, and $c$, define $(a, b, c) = \frac{abc}{a + b + c}$. Find $(2, 4, 6)$.

对于非零数 $a$、$b$ 和 $c$，定义 $(a, b, c) = \frac{abc}{a + b + c}$。求 $(2, 4, 6)$。

(A) 1 1

(B) 2 2

(C) 4 4

(D) 6 6

(E) 24 24

Answer

Correct choice: (C)

正确答案：（C）

Solution

(C) We have $(2,4,6)=\dfrac{2\cdot4\cdot6}{2+4+6}=\dfrac{48}{12}=4.$

（C）我们有 $(2,4,6)=\dfrac{2\cdot4\cdot6}{2+4+6}=\dfrac{48}{12}=4.$

Topics

AR.001 Fractions

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