英文奥林匹克数学题！1.The digits of a 2-digit number are the same.When

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英文奥林匹克数学题！
1.The digits of a 2-digit number are the same.When you multiply this number by 99, you get a 4-digit number in which the third digit (the number of tens) is 5. What number did you get after the multiplication?
2.In a running race there were 12 racers marked with numbers. What was their order at the finish line if, for every racer, the product of the racing number and the place-number the runner finished at was one more than a number divisble by 13?
翻译+答案

1.一个个位和十位数字相同的两位数，当你将其乘以99时，你得到一个十位为5的四位数。请问乘出的数是多少？很简单啊。穷举就可以了。最后原两位数为44，乘出的数为4356。 2.一场跑步赛有12位选手标有不同的号码。到达终点时，如果他们的号码和他们的名次满足这样的关系：对每一位选手，他的号码和名次成绩乘积都比一个13的倍数大1，那么他们各自的名次应该是多少？翻译过来就简单了嘛。显然应该是（从1号到12号分别是）：1，7，9，10，8，11，2，5，3，4，6，12 第二题附vb穷举的程序对于答案的唯一性，数学上有严格证明，就不在此赘述了祝你答得开心~ vb程序： For i = 1 To 12 For j = 1 To 12 If i * j Mod 13 = 1 Then Text1 = Text1 & "," & Str$(j) & " " Next Next

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