# A problem by crazy singh

Level pending

two circular loops $$A$$ and $$B$$ of radii $$R$$ and $$2R$$ respectively are made of the same wire. The ratio of their moment of inertia about the axis passing through the center and perpendicular to their planes is given by $$\frac{a}{b}$$. where $$a$$ and $$b$$ are co-prime integers. then $$a + b$$ is equal to?

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