# Basic Bases!

Number Theory Level 3

Let us define 2 number base systems as $$A$$ and $$B$$. It is given to us that $$31_{A}=2_{A}*17_{A}$$ and $$44_{B}=3_{B}*13_{B}$$, find the value of $$(A+B)_{10}$$.

Details- $$X_{y}$$ indicates $$X$$ in base $$y$$

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