[tex]\dfrac a5=\dfrac b8\Rightarrow a=\dfrac{5b}{8}[/tex]
[tex]3b=2c\Rightarrow c=\dfrac{3b}{2}[/tex]
Inlocuim in relatia data si avem:
[tex]3\cdot\dfrac{5b}{8}+2b-\dfrac{3b}{2}=57[/tex] Aducem la acelasi numitor
[tex]15b+16b-12b=456\Rightarrow 19b=456\Rightarrow b=\dfrac{456}{19}=24[/tex]
[tex]a=\dfrac{5\cdot24}{8}=15;\ \ c=\dfrac{3\cdot24}{2}=36[/tex]
