Question 133
Find pairs of positive integers $x, y$, which satisfy the system of equations:
$$
\begin{cases}
[x, y] + (x, y) = 2018, \\
x + y = 2018,
\end{cases}
$$
Where $[x, y]$ and $(x, y)$ are LCM and GCD of numbers $x, y$.
$$
\begin{cases}
[x, y] + (x, y) = 2018, \\
x + y = 2018,
\end{cases}
$$
Where $[x, y]$ and $(x, y)$ are LCM and GCD of numbers $x, y$.