2001 AMC 12 第 1 题

Question

两个数的和是

S

。给每个数都加上

3

，再将所得的两个数分别翻倍。最后这两个数的和是多少？

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?

2S + 3

3S + 2

3S + 6

2S + 6

2S + 12

给两个数各加

3

会使它们的和增加

6

Adding

3

to each of the two numbers increases their sum by

6

把每个数翻倍，也会使总和翻倍

Doubling each number doubles the sum

给每个数加

3

后，总和从

S

变为

S + 6

。再把每个数翻倍，总和也翻倍，得到

2(S + 6) = 2S + 12\text{。}

因此，正确答案是 E。

Adding

3

to each number raises the sum from

S

to

S + 6.

Doubling each number doubles the sum, giving

2(S + 6) = 2S + 12.

Thus, the correct answer is E.

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