# 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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