Question

一只鸡和一只鸭共32元,一只鸭和一只鹅共62元,一只鹅和一只鸡共58元.鸡,鸭,鹅各多少元?

Answer 1

设鸡为X,鸭为Y,鹅为Z.

1、X+Y=32,Y+Z=62,X+Z=58.

2、Y=32-X,32-X+Z=62

3、32-X+Z=62,Z-X=30

4、Z-X=30,X+Z=58

上面方程式两个相加,Z=44,将Z=44带入第X+Z=58,可得X=14,将X=14带入X+Y=32,可得Y=18

鸡,14.鸭,18,鹅,44