2000 AMC 8 第 10 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
10.
Ara 和 Shea 曾经一样高。此后 Shea 长高了 ，而 Ara 长高的英寸数是 Shea 的一半。Shea 现在高 英寸。Ara 现在高多少英寸？
Ara and Shea were once the same height. Since then Shea has grown while Ara has grown half as many inches as Shea. Shea is now inches tall. How tall, in inches, is Ara now?
小提示：
由 Shea 现在的身高求出原来的共同身高。
Recover the original common height from Shea’s new height
大提示：
Ara 长高的英寸数是 Shea 的一半。
Ara grew half as many inches as Shea
解答：
设 Ara 和 Shea 原来的身高为 。则
Shea 长高了 英寸，所以 Ara 长高了 英寸，她现在高 英寸。
所以正确答案是 E。
Let be Ara and Shea’s initial height. Then we get that
This means that Shea grew inches, which means that Ara grew inches, making her inches tall.
Thus, E is the correct answer.
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