2008 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.
A 房间里 个人的平均年龄是 。B 房间里 个人的平均年龄是 。如果把两组人合在一起，所有人的平均年龄是多少？
The average age of the people in Room A is The average age of the people in Room B is If the two groups are combined, what is the average age of all the people?
答案：D
小提示：
把每个房间的平均年龄转化为年龄总和
Convert each room average into a total age.
大提示：
合并后的平均年龄等于合并后的年龄总和除以全部 个人
The combined average is the combined total age divided by all people.
解答：
A 房间的年龄总和为
B 房间的年龄总和为
总和为
因此平均年龄为
所以正确答案是 D。
The sum of the ages in Room A is
The sum of the ages in Room B is
The total sum is
The average is therefore
Thus, the answer is D .
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