# Inspired by(copied from) IGSCE

Geometry Level 3

Given that $$AZ = 3\text{ cm}, ZC = 2\text{ cm}, MC=5\text{ cm}, BM=3\text{ cm}$$ and $$XYZ||BMC$$. If the ratio of the areas of the triangles, $$\dfrac{[AXY]}{[AYZ]}$$ is $$\dfrac ab$$, where $$a$$ and $$b$$ are coprime positive integers, find $$a+b$$.

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