Weird Systems

\(x\) 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 \(y\).

×

Problem Loading...

Note Loading...

Set Loading...