Needs a elegant solution apart from hit and trial (1)
Algebra
Level
2
\[ \begin{cases} x+\sqrt y = 27 \\ \sqrt x - y = 1 \end{cases} \]
Given that \(x\) and \(y\) are positive integers satisfying the system of equations above, find \(x+y\).
by
Abhisek Mohanty