Question

Daca x,y ∈ N* si (x,y) =1 ,aflati x/y din proportile.
a) y/x-y=5/7

Answer 1

$\dfrac{y}{x-y}=\dfrac57\Rightarrow7y=5x-5y\Rightarrow5x=12y\Rightarrow\dfrac xy=\dfrac{12}{5}$

Este verificata si conditia (12;5)=1.