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 \(X+Y\).

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