Question

Care ne de forma abc verifica egalitatea abc+bca+cab=555?

Answer 1

abc+bca+cab=555
100a+10b+c+100b+10c+a+100c+10a+b=555
111a+111b+111c=555 | :111
a+b+c=5
abc∈{311, 221, 131, 212, 122, 113}

Answer 2

abc+bca+cab=555
100a+10b+c+100b+10c+a+100c+10a+b=555
111a+111b+111c=555
111(a+b+c)=555
a+b+c=555:111=5
Pt. a=1 avem
b+c=5-1=4=
b={1;2;3)
c={3;2;1}
Pt.a=2 avem
b+c=5-2=3=
b={1;2}  
c={2;1}
Pt.a =3 avem
b+c=5-3=2 =
b=1
c=1
succes la teme!eu te-am ajutat cu ce am putut bafta :)