Răspunsuri

2014-11-09T10:41:10+02:00
Xyz+yzx+zxy=666
100x+10y+z+100y+10z+x+100z+10x+y=666
111x+111x+111z=666
111(x+y+z)=666 => x+y+z=6
x=6 imposibil
x=5 imposibil
x=4 => y+z=2 => y=1 si z=1
x=3 => y+z=3 => y=1 si z=2 sau y=2 si z=1
x=2 => y+z=4 => y=1 si z=3 sau y=2 si z=2 sau y=3 si z=1
x=1 => y+z=5 => y=1 si z=4 sau y=2 si z=3 sau y=3 si z=2 sau y=4 si z=1 
Numerele sunt: 411,312,321,213,222,231,312,321,114,123,132,141.
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