一个十位数字为零的三位数，它恰好等于其各位数字和的m倍，交换他的个位数字与百位数字后得到的新数又是其
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发布时间：2022-05-14 13:35
共3个回答
热心网友
时间：2023-10-18 22:56
解法：设这个两位数是100a+b，根据题意得：100a+b=m（a+b），100b+a=n（a+b）
这两式相加、相减可得：m+n=101，m-n=99，解m、n的方程组可得答案。
热心网友
时间：2023-10-18 22:56
108 = 9 * 12, 801 = 9 * 89
200 = 2 * 100, 2 = 2 * 1
201 = 3 * 67, 102 = 3 * 34
204 = 6 * 34, 402 = 6 * 67
207 = 9 * 23, 702 = 9 * 78
209 = 11 * 19, 902 = 11 * 82
300 = 3 * 100, 3 = 3 * 1
306 = 9 * 34, 603 = 9 * 67
308 = 11 * 28, 803 = 11 * 73
400 = 4 * 100, 4 = 4 * 1
402 = 6 * 67, 204 = 6 * 34
405 = 9 * 45, 504 = 9 * 56
407 = 11 * 37, 704 = 11 * 64
408 = 12 * 34, 804 = 12 * 67
500 = 5 * 100, 5 = 5 * 1
504 = 9 * 56, 405 = 9 * 45
506 = 11 * 46, 605 = 11 * 55
600 = 6 * 100, 6 = 6 * 1
603 = 9 * 67, 306 = 9 * 34
605 = 11 * 55, 506 = 11 * 46
700 = 7 * 100, 7 = 7 * 1
702 = 9 * 78, 207 = 9 * 23
704 = 11 * 64, 407 = 11 * 37
800 = 8 * 100, 8 = 8 * 1
801 = 9 * 89, 108 = 9 * 12
803 = 11 * 73, 308 = 11 * 28
804 = 12 * 67, 408 = 12 * 34
900 = 9 * 100, 9 = 9 * 1
902 = 11 * 82, 209 = 11 * 19
热心网友
时间：2023-10-18 22:56
