Look at the clock, you both know who the real winner was.
Most likely your opponent has a better position because he took more time to make his moves. There is a relationship between the quality of the position and the time left on the clock, throwing one out in favor of the other is just naive.
I have had this argument come up a lot, you play someone in a TIMED (usually short) game, and you win on time with horrible position (lets say, you: pawn and king; opponent: 2 knights 4 pawns and king).
Even though I win on time, they always argue: "look at the position, we both know who the real winner was."
what do you think?