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Aflati numerele naturale x si y astfel incat fractiile 30/x+1 , 2y+1/25 si 3/5 sa fie echivalente

Răspuns :

pai 
30/x+1= 30/50            =>x=49
si 
2*(2y+1)/50= 30/50    =>y=7
[tex] \frac{30}{x+1} = \frac{2y+1}{25} = \frac{3}{5} [/tex]
[tex] \frac{30}{x+1} = \frac{3}{5} =\ \textgreater \ 3(x+1)=30*5 =\ \textgreater \ x+1 = 50 =\ \textgreater \ x=49 [/tex]
[tex] \frac{2y+1}{25}=\frac{3}{5} = 5* (2y+1) = 25*3 =\ \textgreater \ 2y+1= 15 =\ \textgreater \ y=7[/tex]