[tex]g+r+c=189 \\\\ \boxed{r=g+14} \\\\\boxed{c= \frac{g}{2}} \\\\\\ g^{(2}+14^{(2}+\frac{g}{2}+g^{(2}=189^{(2} \\\\ 2g+28+g+2g=378 \\\\ 5g=378-28 \\\\ 5g=350 \ |:5 \\\\ \boxed{\boxed{g=70}} \\\\ r=70+14 \\\\ \boxed{\boxed{r=84}} \\\\ c= \frac{70}{2} \\\\ \boxed{\boxed{c=35}}[/tex]
OR
|.......|- nr. de gaini
|.......|.14.|-nr. de rate
|...| -nr. de curci
x-un segment
x+x+14+ x/2= 189
2x+x/2 =189-14
2x+x/2= 175 |*2 Inmultim toata relatia prin 2
4x+x=350
5x=350
x=350:5
x=70 -un segment ( nr gainilor)
70+14=84 -nr ratelor
70:2=35 -nr curcilor