[tex]\frac{\bar{abc}}{100}-\frac{\bar{cab}}{100}=1,79[/tex]
[tex]\frac{\bar{abc}-\bar{cab}}{100}=1,79[/tex]
[tex]\bar{abc}-\bar{cab}=179[/tex]
[tex]100a+10b+c-(100c+10a+b)=179[/tex]
[tex]100a+10b+c-100c-10a-b=179[/tex]
[tex]90a+9b-99c=179[/tex]
[tex]9(10a+b-11c)=179[/tex]
[tex]10a+b-11c=\frac{179}{9}=19,(8)[/tex]
[tex]\bar{ab}-11c=19,(8)[/tex]
[tex]\bar{ab}~natural~si~11c~natural~rezulta~19,(8)~intreg,~ceea~ce~este~fals[/tex]
[tex]\bar{ab}\in\oslash[/tex]
