Răspuns :
a=2k
b=7k
a-b=85
-5k=85
k=-17
a=-34, b=-119
Sper că te-am ajutat :)
[tex]\it \{a,\ \ b\} \ d.\ p. \ \{2,\ 7\} \Rightarrow \dfrac{a}{2}=\dfrac{b}{7} \Rightarrow b=\dfrac{7a}{2} \Rightarrow b=3,5a\ \ \ \ \ (1)\\ \\ \\ b-a=85\ \ \ \ (2)\\ \\ \\ (1),\ (2) \Rightarrow 3,5a-a=85 \Rightarrow 2,5a=85|_{:5} \Rightarrow 0,5a=17|_{\cdot2} \Rightarrow a=34\ \ \ \ (3)\\ \\ \\ (1),\ (3) \Rightarrow b=3,5\cdot34 \Rightarrow b=119[/tex]