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Ce valoare au x,y si z stiind ca :
xyz+yzx+zxy=999


Răspuns :

xyz+yzx+zxy=999

100x+10y+z+100y+10z+x+100z+10x+y=999 (descompunem in baza 10)

111x + 111 y + 111 z = 999

111( x + y +z)=999

x + y +z= 9

x, y, z nu pot fi 0, dar pot fi alte cifre atata timp cat x + y +z= 9