Question

Calculati numerele x,y,z stiind ca x pe 11 = y pe 9= z pe 3 si x pe 11+y pe 9+z pe 3=18

Answer 1

$\frac{x}{11}= \frac{y}{9}= \frac{z}{3}  [tex] \frac{x}{11} + \frac{y}{9} + \frac{z}{3} = 18$
⇒ $\frac{x}{11} + \frac{x}{11} + \frac{x}{11} = 18$
$\frac{3x}{11} = 18$
3x=11x18
3x=198
x=66 ⇒ $y= \frac{9x}{11}$ ⇒y= 54
$z= \frac{3x}{11}$ ⇒ z=18

Answer 2

$\frac{x}{11}= \frac{y}{9} =\frac{z}{3}=k . \\ \\ \frac{x}{11}+ \frac{y}{9}+ \frac{z}{3}=18<=>3k=18=>k=6. \\ \\ \frac{x}{11}= \frac{y}{9}= \frac{z}{3}=6. \\ \\ \frac{x}{11}=6=>x=66. \\ \\ \frac{y}{9}=6=>y=54. \\ \\ \frac{z}{3}=6=>z=18.$