Similar Triangles
Geometry
If $\triangle ACB \sim DEF$, and
• $AC = 3x+1$
• $BC = 12-2x$
• $DE = 31-2x$
• $EF = 5x$
what is the value of $\frac{AB}{DF}$?
The answer is in the form $\frac{\alpha}{\beta}$ for coprime integers $\alpha$ and $\beta$. Input the answer as the sum $\alpha +\beta$.