If 2, 4, 6, 7, 8, and 9 are the digits of two 3-digit integers, what is the leas

游客2024-01-12 32

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? ________.

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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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