CMIMC 2016 Algebra Problem 3

Let \ell be a real number satisfying the equation \frac{(1+\ell)^{2}}{1+\ell^{2}}=\frac{13}{37}. Then

\frac{(1+\ell)^{3}}{1+\ell^{3}}=\frac{m}{n},

where m and n are positive coprime integers. Find m+n.