To find the number of votes polled in favor of candidates A and B, we can set up the problem using algebra.
Let \( x \) be the number of votes for candidate A and \( y \) be the number of votes for candidate B. According to the problem, we have two key pieces of information:
1. A defeated B by 75 votes:
\[
x - y = 75 \tag{1}
\]
2. Had 20% of A's votes gone to B, then B would have won by 19 votes:
\[
(x - 0.2x) - (y + 0.2x) =