Ratio of Arithmetic Terms

Let $\{a_n\}$ be an arithmetic sequence. If $\displaystyle \frac{a_{41}}{a_{25}} = \frac{3}{2}$, find the value of $\displaystyle \frac{S_{100}}{S_{50}}$. The answer is in the form $\frac{\alpha}{\beta}$ where $\alpha$ and $\beta$ are coprime integers. Input the value of $\alpha+\beta$