2006 AMC 12A 第 7 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。
7.
Mary 比 Sally 大 ，Sally 比 Danielle 小 。她们年龄之和是 岁。Mary 下一个生日时多少岁？
Mary is older than Sally, and Sally is younger than Danielle. The sum of their ages is years. How old will Mary be on her next birthday?
小提示：
设 Danielle 的年龄为 ，再用 表示 Sally 和 Mary 的年龄。
Let Danielle’s age be then express Sally’s and Mary’s ages in terms of
大提示：
Sally ，Mary ；三人年龄和为 。
Sally and Mary the ages sum to
解答：
设 Danielle 为 岁。那么 Sally 为 ，Mary 为 。
由 ，得 。所以 Mary 现在 岁，下一个生日时她将满 岁。
因此，正确答案是 B。
Let Danielle be years old. Then Sally is and Mary is
The sum gives So Mary is years old, and on her next birthday she will be
Thus, the correct answer is B.
其他年份的第 7 题
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