[tex] \frac{x}{2} = \frac{y}{3} = \frac{z}{4} = k[/tex]
=>
[tex]x = 2k \: \: \: y = 3k \: \: \: z = 4k[/tex]
Mai stim ca:
[tex] \frac{x + y + z}{3} = 18 \\ x + y + z = 3 \times 18 \\ x + y + z = 54[/tex]
Acum inlocuiesti si afli totul in functie de k
[tex]2k + 3k + 4k = 54 \\ 9k = 54 \\ k = 6[/tex]
Si acum afli x,y,z
x = 2 × 6 =12
y = 3 × 6 = 18
z = 4 ×6 = 24
