82问答网 > 两个数相除，商是4，余数是1，被除数，除数，商，余数之和是51被除数是多少

两个数相除，商是4，余数是1，被除数，除数，商，余数之和是51被除数是多少

2025-03-15 22:19:20
推荐回答（3个）
回答1：

解：设除数为x，被除数为4x+1
x+4x+1+4+1=51
5x=45
x=9
被除数：9×4=1=37
答：被除数是37

回答2：

解：
设被除数是x，除数是y
x + y + 4 + 1 = 51
x = 4y + 1
解方程组，得到：
x = 37
y = 9
被除数是37

回答3：

设除数为A，那么被除数等于4A+1
那么（4A+1）+A+4+1=51 得到A=9
则被除数等于4x9+1=37

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