[tex]a+b+c=3709 \\ b:a=3 \ rest \ 459 \to \ \boxed{b=3a+459} \\ c:a= 3 \ rest \ 30 \to \boxed{c=3a+30} \\------------------ \\a+3a+459+3a+30=3709 \\7a+489=3709 \\ 7a=3709-489 \\ 7a=3220 \\ \boxed{\boxed{a=460}} \\ \\ \\ \boxed{b=3*460+459=\boxed{1839}}\\ \\ \boxed{c=3*460+30=\boxed{1410}} \\ \boxed{\boxed{Verificare:460+1839+1410=3709}}[/tex]