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If 2, 4, 6, 7, 8, and 9 are the digits of two 3-digit integers, what is the least possible positive difference between the integ
If 2, 4, 6, 7, 8, and 9 are the digits of two 3-digit integers, what is the least possible positive difference between the integ
admin
2019-10-11
53
问题
If 2, 4, 6, 7, 8, and 9 are the digits of two 3-digit integers, what is the least possible positive difference between the integers? ________.
选项
答案
26
解析
要想使差值小,首先满足百位数应该最接近,满足条件的百位数是6和7,继而让百位是6的十位数越大,则十位是9,让百位是7的十位数越小,则十位是2,再让百位是6的个位数越大,百位是7的个位数越小,则最后拼成的两个两位数是724和698,差值为26。
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