# Mean Coordinates

Geometry Level 2

A triangle was drawn on a Cartesian plane such that the sum of the $$x$$-coordinates and the sum of the $$y$$-coordinates of this triangle are 12 and 96, respectively. The point that passes through all three medians of this triangle is denoted by $$\left(\overline X , \overline Y \right )$$. Find $$X+Y$$.

×