2010 AMC 8 第 22 题
先试着解答 2010 AMC 8 第 22 题，然后核对你的答案与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2010 AMC 8 解答，或核对答案。
所有题目均经美国数学协会（MAA）官方合法授权使用。
22.
一个三位数的百位数字比个位数字大 。将这个三位数的数字倒序排列，再用原三位数减去倒序后的数。结果的个位数字是多少？
The hundreds digit of a three-digit number is more than the units digit. The digits of the three-digit number are reversed, and the result is subtracted from the original three-digit number. What is the units digit of the result?
小提示：
倒序数相减时，十位数字会抵消
The tens digit cancels when the reversed number is subtracted.
大提示：
用个位数字表示原数，并让百位数字比个位数字大二
Represent the original number with hundreds digit two more than the units digit.
解答：
设个位数字为 ，十位数字为 。则百位数字为 。原数为 倒序数为 两数之差为 因此结果的个位数字是 。
所以正确答案是 E。
Let the units digit be and let the tens digit be This makes the hundreds digit be This makes the number equal to and the reversed number is This makes the difference equal to This makes the units digit
Therefore, the answer is E .
其他年份的第 22 题
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