1956 AMC 12 第 16 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。
16.
三个数的和为 。第一个数与第二个数之比为 ，第二个数与第三个数之比为 。第二个数为：
The sum of three numbers is The ratio of the first to the second is and the ratio of the second to the third is The second number is:
答案：C
小提示：
选择共同的倍数，使三个数之比为
Choose a common scaling so the three numbers have ratio
大提示：
这些比值份数之和为
Those ratio parts add to
解答：
第一个数与第二个数之比 ，以及第二个数与第三个数之比 ，合并后可得三个数之比为 。 份共等于 ，所以每份为 。第二个数为 。
因此，正确答案是 C。
The first-to-second ratio and second-to-third ratio combine to give the three-number ratio The total parts equal so each part is The second number is
Thus, the correct answer is C.
其他年份的第 16 题
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