问题
填空题
一个六位数它能被9和11整除，去掉这个六位数的首、尾两个数字，中间的四个数字是1997．那么这个六位数是______．
答案
设这个数为a1997b．
由能被9整除，推知a+b=1或10；
由能被11整除，推知a-b=6或b-a=6．
综上求得a=2，b=8．
所以这个数为：219978．
故答案为：219978．
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一个六位数它能被9和11整除，去掉这个六位数的首、尾两个数字，中间的四个数字是1997．那么这个六位数是______．
设这个数为a1997b．
由能被9整除，推知a+b=1或10；
由能被11整除，推知a-b=6或b-a=6．
综上求得a=2，b=8．
所以这个数为：219978．
故答案为：219978．
| One day a famous actor had just got into the train with all his luggage when a young man came and 1 down in the seat opposite him. The young man took out a 2 and began to read it, 3 the actor tried to get some 4 in his corner of the carriage. When he opened his eyes, he 5 that the young man was looking at him with his 6 open, his book forgotten. The actor shut his eyes and tried to sleep again, 7 every time he opened them, the young man was looking at him with the same excited look .At last, he gave up the attempt(企图) to sleep, took out a newspaper, put it 8 in front of him and began to read. The young man tried several times to get into conversation with the actor, but 9 . After a long period of silence the young man said again, "I'm George P. Anderson of Willington, Vermont."This time the actor put his 10 down and said, "So am I."That was the end of the conversation. | ||||
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