AHSME 1960 Problem 8

The number $2.5252525\ldots$ can be written as a fraction. When reduced to lowest terms the sum of the numerator and denominator of this fraction is: $\textbf{(A) }7 \textbf{(B) }29 \textbf{(C) }141 \textbf{(D) }349 \textbf{(E) }\text{none of these}$