Răspuns :
Fie a,b-doua numere
a+b=64
a/b=7/9
a=7k
b=9k
7k+9k=64
16k=64
k=64:16
k=4
a=7×4
a=28
b=9×4
b=36
Răspuns:
28 si 36
Explicație pas cu pas:
[tex]a+b = 64\\\\\frac{a}{b} = \frac{7}{9} => \boxed{9a=7b}\\\\a+b = 64\:\:\:\:/*9\\\\9a+9b = 576\\\\inlocuim\:pe\: 9a\: in\: relatie \\\\7b + 9b = 576\\\\16b = 576 \\\\b = 756:16\\\\\boxed{b=36}\\\\a+36=64\\\\a=64-36\\\\ \boxed{a=28}\\\\Verificarea: 28+36=64\\\\\frac{28}{36} =\frac{7}{9}[/tex]