# Weird Systems

Number Theory Level 4

$$x$$ and $$y$$ are the natural numbers satisfying following system of equations.

$$y^{3}+3y = x^{3}+3x^{2}+ 266$$

$$x^{2}+y^{2} = 8x+8y+2$$

Find the sum of the digits of the product of $$x$$ and $$y$$.

×