+1 to what everyone else has said.
Sometimes repeated flats are just a coincidence, sometimes they're a result of riding on really debris-filled roads, but sometimes they're a sign that your tires are due for replacement. (At least if both flats were in the same tire, which you didn't say, and most of us seem to be assuming.)
Since you bought the bike used, do you know how old the tires are? Are there any signs of dry rot? If it's a treaded or knobby tire, how much of the tread or knobs is left? If it's a slick or partial slick, when you had the tire off to change the tube, how thick/thin did the center part seem? Without air in the tire, did the center of the tire seem concave?



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I actually carry 3 tubes with me now but I figure if I get 2 on one ride again then I'm heading home. lol
