AMC10 2007 A
AMC10 2007 A · Q4
AMC10 2007 A · Q4. It mainly tests Linear equations.
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
(C)
12
12
(D)
16
16
(E)
20
20
Answer
Correct choice: (A)
正确答案：（A）
Solution
Answer (A): Let the smaller of the integers be $x$. Then the larger is $x+2$. So $x+2=3x$, from which $x=1$. Thus the two integers are $1$ and $3$, and their sum is $4$.
答案（A）：设较小的整数为$x$。则较大的整数为$x+2$。所以$x+2=3x$，由此得$x=1$。因此这两个整数是$1$和$3$，它们的和为$4$。
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