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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