[中學] 問一分數問題 (a/bc+d/ef+g/hi=1)
a/bc +d/ef +g/hi =1
其中a~i各分別為1~9不同的數字
(裡面的bc代表的是十位數是b, 個位數是c
ef代表的是十位數是e, 個位數是f
hi代表的是十位數是h, 個位數是i)
求a~i的數字是多少
網路上查過可以寫程式暴力破解
但想知道如何用紙筆求出答案?
目前我只做到
24≧a+d+g≧13
以及bc、ef、hi三數中最小的數,範圍介於12到23之間
懇請各位賜與解法,謝謝
(先補答案,5/34 + 7/68 + 9/12 = 1)
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