2020 Fermat Problem 22

Suppose that x and y are real numbers that satisfy the two equations: x^2 + 3xy + y^2 = 909 3x^2 + xy + 3y^2 = 1287 What is a possible value for x + y?

\textbf{(A)}\ 27\quad \textbf{(B)}\ 39\quad \textbf{(C)}\ 29\quad \textbf{(D)}\ 92\quad \textbf{(E)}\ 41

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Fermat contests here.