1960 AHSME 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\qquad \textbf{(B) } 29\qquad \textbf{(C) }141\qquad \textbf{(D) }349\qquad \textbf{(E) }\text{none of these}

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