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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