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[数论] 若正整数满足 $29a+30b+31c=366$ 求 $a+b+c$

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isee Posted 2022-7-3 21:56 |Read mode

源自知乎提问

数据好玩，正整数解是否只有一组？

若 $29a+30b+31c=366$，$a$，$b$，$c\in \mathrm N_+$，则 $a+b+c$ 的值为_____.

isee=freeMaths@知乎

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战巡 Posted 2022-7-3 23:21

这里有$a=1,b=4,c=7$和$a=b=2,c=8$两组解

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