2001 AMC 10 第 3 题

Question

两个数的和是

S

。若每个数都先加上

3

，然后将所得的两个数各自加倍，那么最后两个数的和是多少？

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

设两个数为

a

和

b

，且

a+b=S

。

Call the numbers

a

and

b

with

a+b=S

最后的和是

2(a+3)+2(b+3)

。

The final sum is

2(a+3)+2(b+3)

设两个数为

a

和

b

，且

a+b=S

。每个数加上

3

再加倍后，所得两数之和为

2(a+3)

+2(b+3)

=2(a+b)+12

=2S+12

。

所以正确答案是 E。

Let the numbers be

a

and

b,

so

a+b=S.

After adding

3

to each and doubling, the sum is

2(a+3)

+2(b+3)

=2(a+b)+12

=2S+12.

Thus, the correct answer is E.

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