[tex]x \times \frac{1}{16} = y \times \frac{1}{24} = z \times \frac{1}{30} = t \times \frac{1}{55} [/tex]
[tex] \frac{x}{16} = \frac{y}{24} = \frac{z}{30} = \frac{t}{55} = k[/tex]
=>x=16k(se inmultesc pe diagonala)
....y=24k
....z=30k
.....t=55k
Inlocuiesti in relatia x+y+z+t=125
16k+24k+30k+55k=125
40k+85k=125
[tex]k = \frac{125}{125} [/tex]
k=1=>x=16;y=24;z=30;t=55
