AMC12 2007 A

AMC12 2007 A · Q3

AMC12 2007 A · Q3. It mainly tests Linear equations, Word problems (algebra).

The larger of two consecutive odd integers is three times the smaller. What is their sum?

两个连续奇整数中较大的一个是较小的一个的三倍。它们的和是多少？

(A) 4 4

(B) 8 8

(D) 16 16

(E) 20 20

Answer

Correct choice: (A)

正确答案：（A）

Solution

Let $n$ be the smaller term. Then $n+2=3n \Longrightarrow 2n = 2 \Longrightarrow n=1$ - Thus, the answer is $1+(1+2)=4 \mathrm{(A)}$

设较小的数为$n$，则$n+2=3n \Longrightarrow 2n=2 \Longrightarrow n=1$ - 因此答案是$1+(1+2)=4 \mathrm{(A)}$

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