Question

Va rog repede!! Dau coroana​

Answer 1

$\it (a, b)=21 \Rightarrow \begin{cases}\ \it a=21x,\ \ b=21y\\ \\ \it (x,\ y)=1\end{cases}\ \ \ \ (*)\\ \\ \\ a\cdotr b=3087\ \stackrel{(*)}{\Longrightarrow} 21x\cdot21y=3087 \Rightarrow 441xy=3087\Big|_{:441} \Rightarrow xy=7=1\cdot7=7\cdot1\\ \\ \\ I)\ \ x=1,\ \ y=7\ \Rightarrow a=21\cdot1=21,\ \ b=21\cdot7=147\\ \\ II)\ \ x=7,\ \ y=1\ \Rightarrow a=21\cdot7=147,\ \ y=21\cdot1=21$