# A geometry problem by Rahil Sehgal

Geometry Level pending

On $$\triangle ABC,$$ $$X$$ and $$Y$$ are points on the segments $$AB$$ and $$AC,$$ respectively, such that $$AX:XB = 1: 2$$ and $$AY: YC = 2: 1.$$ If the area of $$\triangle AXY$$ is $$10,$$ then what is the area of $$\triangle ABC?$$

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