Don't want \(x\) and \(y\)? Ok, we've \(X\) and \(Y\)!

\(x\) is a positive integer which follows the condition \[\displaystyle 13 \mid (4x^2-22x+15)\]


\(y\) is a positive integer which follows the condition \[\displaystyle 13 \mid (4y^2+22y+15)\]

Let the sum of the first \(25\) smallest possible values of \(x\) be \(\color{Blue}{X}\).

Let the sum of the first \(25\) smallest possible values of \(y\) be \(\color{Blue}{Y}\).

\(\textbf{Find the value of}\) \(\color{Blue}{X+Y}\)

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