A four-digit integer,WXYZ,in which W,X,Y,and Z each represen
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A four-digit integer,WXYZ,in which W,X,Y,and Z each represent a different digit,is formed according to the following rules.
一个四位整数 WXYZ 分别代表不同的数字
这个四位整数由以下几个条件组成
1.X = W + Y + Z
2.W = Y + 1
3.Z = W - 5
What is the four-digit integer?
这个四位整数是什么?
一个四位整数 WXYZ 分别代表不同的数字
这个四位整数由以下几个条件组成
1.X = W + Y + Z
2.W = Y + 1
3.Z = W - 5
What is the four-digit integer?
这个四位整数是什么?
简单的方法就设未知数,由题可知:
X=Y+1+Y+1-5+Y=3Y-3
W = Y + 1
Z = Y+1-5=Y-4,
互不相等 得:Y ≠ 2,
且 W,X,Y,Z 都为非零一位整数(且W ≠ 0 ),列不等式得:Y = 4.(只能这个)
分别代入,四位数为:5940
X=Y+1+Y+1-5+Y=3Y-3
W = Y + 1
Z = Y+1-5=Y-4,
互不相等 得:Y ≠ 2,
且 W,X,Y,Z 都为非零一位整数(且W ≠ 0 ),列不等式得:Y = 4.(只能这个)
分别代入,四位数为:5940
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