[tex]\{a,b,c\}i.p.\{0,(3);\ 0,5;\ 0,25\}\Rightarrow \dfrac{a}{\dfrac{1}{\frac{1}{3}}}= \dfrac{b}{\dfrac{1}{\frac{1}{2}}}= \dfrac{c}{\dfrac{1}{\frac{1}{4}}}\Rightarrow \dfrac{a}{3}=\dfrac{b}{2}=\dfrac{c}{4}=k\Rightarrow\\ \Rightarrow a=3k,b=2k,c=4k\\
6a+2b-5c=50\\
18k+4k-20k=50\\
2k=50\Rightarrow \boxed{k=25}\\
a=3k\Rightarrow \boxed{a=75}\\
b=2k\Rightarrow \boxed{b=50}\\
c=4k\Rightarrow \boxed{c=100}\\
R\text{Numerele cautate sunt 75,50 si 100.}[/tex]
