Răspuns:
a=12
b=18
c=45
Explicație pas cu pas:
[tex]c-a=33 => c=a+33\\\frac{a}{b} =\frac{2}{3} => 3a=2b=> b=\frac{3a}{2} \\\frac{b}{2} =\frac{c}{5} => 5b=2c=>b=\frac{2c}{5} =\frac{2(a+33)}{5} \\b=\frac{3a}{2} =\frac{2(a+33)}{5} => \frac{3a}{2} =\frac{2(a+33)}{5} =>\\=>2*2(a+33)=5*3a\\4a+132=15a\\15a-4a=132\\11a=132 => a=12\\b=\frac{3a}{2} =\frac{3*12}{2} =3*6=18\\b=18[/tex]
c-a=33
c=a+33
c=12+33=45
