Question

Aflati numerele x si y stind ca sunt direct proportionale cu numerele 5 si 7 si ca media lor aritmetica este 29,4 cel care raspunde corect ii dau coroana !!!!!!!!!!!!!!!!!!!!!!

Answer 1

$\frac{x+y}{2} =29,4=\ \textgreater \ x+y=2*29,4=58,8. \\ \\ \frac{x}{5}= \frac{y}{7}= \frac{x+y}{5+7}= \frac{58,8}{12} =4,9. \\ \\ \frac{x}{5} =4,9=\ \textgreater \ x=5*4,9=24,5 .\\ \\ \frac{y}{7}=4,9=\ \textgreater \ y=7*4,9=34,3 . \\ \\ Numerele~cautate~sunt~\boxed{24,5}~si~\boxed{34,3}.$

Answer 2

x;y dp 5;7 
y+x/2=29,4=>x+y=29,4*2=58,8
x/5=y/7=k
x=5k
y=7k
12k=58,8
k=58,8:12
k=4,9
x=5k
x=5*4,9
x=24,5
y=7k
y=4,9*7
y=34,3
Verificare:34,5+24,5=58,8
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