AMC10 2001 A

AMC10 2001 A · Q3

AMC10 2001 A · Q3. It mainly tests Linear equations, Arithmetic misc.

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 $S$。假设每个数加 3，然后将结果每个数乘以 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 $b$. Then the desired sum is $2(a+3) + 2(b+3) = 2(a+b) + 12 = 2S + 12$.

假设两个数是 $a$ 和 $b$。则所求和为 $2(a+3) + 2(b+3) = 2(a+b) + 12 = 2S + 12$。

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