[tex]\rm a+r+n=93 \\ \\ n=3(a+5)=3a+15 \\ \\ n=\frac r2+1= \frac{r+2}{2} \\ \\ \frac{r+2}{2}=3a+15 \\ \\ r+2=6a+30 \\ \\ r=6a+28 \\ \\ a+6a+28+3a+15=93 \\ \\ 10a+43=93 \\ \\ 10a=50 \\ \\ \bold{a=5~albe} \\ \\ n=3\cdot 5+15 \\ \\ n=15+15 \\ \\ \bold{n=30~negre} \\ \\ r=6\cdot 5+28 \\ \\ r=30+28 \\ \\ \bold{r=58~rosii} \\ \\ \\ \bold{Verificare:~58+30+5=93}[/tex]