[tex]\it m_a=\dfrac{a+b}{2}=35\Rightarrow a+b=70\ \ \ \ \ (1)\\ \\ \\ \dfrac{a}{b}=\dfrac{2}{5} \Rightarrow \dfrac{a+b}{b}=\dfrac{5+2}{5}\ \stackrel{(1)}{\Longrightarrow}\ \dfrac{70}{b}=\dfrac{^{10)}7}{\ 5} \Rightarrow \dfrac{70}{b}=\dfrac{70}{50} \Rightarrow b=50\ \ \ \ (2)\\ \\ \\(1),\ (2) \Rightarrow a+50=70 \Rightarrow a=20[/tex]
Numerele cerute sunt: a=20, b=50
