被除数、除数、商、余数的和是2143,已知商是33,余数是52,被除数是________.
网友回答
1999
解析分析:设除数为x,根据“被除数=商×除数+余数”得:(33x+52)+x+33+52=2143,解这个方程,求出除数,进而根据“被除数=商×除数+余数”解答即可.
解答:设除数为x,则:
(33x+52)+x+33+52=2143,
?????????? 34x+137=2143,
?????? 34x+137-137=2143-137,
???????????????34x=2006,
??????????????? ?x=59;
33×59+52,
=1947+52,
=1999;
答:被除数是1999;
故