Centroid

Geometry Level 3

P,R and Q are on AB , BC and AC of the equilateral triangle ABC respectively.

AP : PB = AQ : QC = 1 : 2 . G is the centroid of the \( \triangle \)PQA and R is the mid point of AC.

Then,

AG : GR = x : y (where x and y are coprimes)

Find x + y

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