Răspuns:
Fie a si b numerele cautate
[tex]\it a = \dfrac{3}{4}b\\\\ b-a=1,(4) \Rightarrow b-a = \dfrac{14-1}{9} \Rightarrow b-a = \dfrac{13}{9}\Rightarrow \boxed{a = b-\dfrac{13}{9}}\\\\egalam\:ecuatiile\\\\ \dfrac{3}{4}b =b- \dfrac{13}{9} \\\\\dfrac{3b}{4} = \dfrac{9b-13}{9}\\\\ 9\cdot3b = 4\cdot(9b-13)\\\\ 27b = 36b -52\\\\27b+52=36b\\\\52 = 36b-27b\\\\9b = 52\\\\\boxed{b=\dfrac{52}{9}}\\\\\\a = \dfrac{3}{4}\cdot\dfrac{52}{9} \Rightarrow \boxed{a=\dfrac{13}{9} }[/tex]
