3位数XYZ,数字的位置交换后成为ZXY,而ZXY是XYZ的2倍，求XYZ各为多少

无解
循环810次，没有得到结果，
matlab 源程序如下：
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
clear;
clc;
i=0;
for x=1:9;
for y=0:9;
for z=1:9
i=i+1;
if 2*(100*x+10*y+z)==100*z+10*x+y;
x
y
z
end
end
end
end
i
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

impossible

XYZ数值为:100X+10Y+Z
ZXY数值为:100Z+10X+Y
100Z+10X+Y=2(100X+10Y+Z)
设X=1,2,3......
通过上式判断

http://zhidao.baidu.com/question/52383944.html
这样的数是不存在的

无解
，，，，，，，

我编程看了一下，好像无解吧......