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Buna! Ma ajutati si pe mine va rog frumos la exercitiul urmator ? :*
Se da sirul de rapoarte egale [tex] \frac{x}{12} = \frac{y}{5} = \frac{40}{z} [/tex]
Determinati x,y,z stiind ca x+y = 12


Răspuns :

[tex]\dfrac{x}{12}=\dfrac y5=\dfrac{x+y}{12+5}=\dfrac{12}{17}[/tex]

[tex]\dfrac{x}{12}=\dfrac{12}{17}\Rightarrow x=\dfrac{144}{17}[/tex]

[tex]\dfrac y5=\dfrac{12}{17}\Rightarrow y=\dfrac{60}{17}[/tex]