AMC12 2001 A

AMC12 2001 A · Q1

AMC12 2001 A · Q1. It mainly tests Linear equations, Fractions.

The sum of two numbers is $S$. Suppose $3$ is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers?

两个数的和是 $S$。假设每个数都加上 $3$，然后将得到的结果每个都乘以 $2$。最后两个数的和是多少？

(A) $2S + 3$ $2S + 3$

(B) $3S + 2$ $3S + 2$

(D) $2S + 6$ $2S + 6$

(E) $2S + 12$ $2S + 12$

Answer

Correct choice: (E)

正确答案：（E）

Solution

Suppose the two numbers are $a$ and $b$, with $a+b=S$. Then the desired sum is $2(a+3)+2(b+3)=2(a+b)+12=2S +12$, which is answer $\boxed{\textbf{(E)}}$.

设这两个数为 $a$ 和 $b$，且 $a+b=S$。则所求的和为 $2(a+3)+2(b+3)=2(a+b)+12=2S +12$，因此答案是 $\boxed{\textbf{(E)}}$。

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