2007 Fermat Problem 14

Two positive integers a and b have the property that if a is increased by 25\%, the result will be *greater than* five times the value of b. What is the minimum possible value for a + b?

\textbf{(A)}\ 3\quad \textbf{(B)}\ 6\quad \textbf{(C)}\ 10\quad \textbf{(D)}\ 9\quad \textbf{(E)}\ 21

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