[tex]x \to nr. \ de \ banci \\\\ 2(x-2)+1\to nr. \ de \ copii \\ 3(x-6)\to nr. \ de \ copii \\\\\\ 2(x-2)+1=3(x-6) \\\\ 2x-4+1=3x-18 \\\\ 2x-3x=-18-1+4 \\\\ -x=-19+4 \\\\ -x=-15 \\\\ \boxed{x=15 \ banci } \\\\ 3(15-6)= \\\\ =3 * 9= \\\\ =\boxed{27 \ copii}[/tex]