Question

Aflati x € Q±, din proportia:3supra55=x supra aa, si aa e nr prim

Answer 1

   
[tex]\displaystyle\\ \overline{aa} ~\text{ este un numar prim de 2 cifre egale.}\\ \text{orice numar de 2 cifre egale este divizibil cu numarul 11}\\ \overline{aa} ~\vdots ~11 ~~\text{si}~~\overline{aa} = \text{ numar prim}\\ \Longrightarrow ~~\boxed{\overline{aa} = 11 }\\\\ \frac{3}{55} = \frac{x}{\overline{aa}} \\\\ \frac{3}{55} = \frac{x}{11} \\\\ 55x = 3\cdot 11 \\\\ x = \frac{3\cdot 11}{55} \\\\ \boxed{x= \frac{3}{5} }[/tex]