Question

Aflati numerele x si y stiind ca sunt invers proporționale cu 3 si 2,(4) si ca media artitmetica este 263

Answer 1

[tex]\{x,y\}i.p.\{3,2(4)\}\Rightarrow \frac{x}{\frac{1}{3}}}=\frac{y}{\frac{1}{2,(4)}}} \Rightarrow 3x=\frac{9y}{22}=k\Rightarrow \\ \\ \Rightarrow x=\frac{k}{3},y=\frac{22k}{9}\\ \frac{x+y}{2}=263\\ \frac{k}{3}+\frac{22k}{9}=526| *9\\ 3k+22k=4734\\ 25k=4374\\ k=189,36\\ x=\frac{k}{3}=63,12\\ y=\frac{22k}{9}=462,88[/tex]

Answer 2

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