A four- digit integer,WXYZ,in which W X Y and Z,each represe
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A four- digit integer,WXYZ,in which W X Y and Z,each represent a diffrent digit,is fprmed according to the following rules
1 X=W+Y+Z
2 W=Y+1
3 Z=W-5
What is the four-digit integer?
1 X=W+Y+Z
2 W=Y+1
3 Z=W-5
What is the four-digit integer?
1-----------X=W+Y+Z
2-----------2 W=Y+1
3-----------3 Z=W-5
利用2和3式,将y和z化为w,得:
x=w+2w-1+1/3w-3/5w
化简:3x=10w-8
然后从x=1开始代入
因为题目说是整数,所以在代到x=4时就行
所以x=4 w=2 y=3 z=-1
2-----------2 W=Y+1
3-----------3 Z=W-5
利用2和3式,将y和z化为w,得:
x=w+2w-1+1/3w-3/5w
化简:3x=10w-8
然后从x=1开始代入
因为题目说是整数,所以在代到x=4时就行
所以x=4 w=2 y=3 z=-1
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