1979 AHSME Problem 11

Find a positive integral solution to the equation \frac{1+3+5+\ldots +(2n-1)}{2+4+6+\ldots +2n}=\frac{115}{116}

\begin{array}{l} \textbf{(A) }110\qquad \textbf{(B) }115\qquad \textbf{(C) }116\qquad \textbf{(D) }231\qquad\\ \textbf{(E) }\text{The equation has no positive integral solutions.} \end{array}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.