I'm a twin, too, but not identical (although you'd be amazed how many people have asked me over the years if my BROTHER and I are identical!).
I've just run into the competition thing with my DH, although it's not trying to get thinner, but we found ourselves competing to see who could eat the least number of points a day. Now my DH has a strength of will that is not to be believed, and he ended up basically fasting (not healthy), and I, realizing I couldn't compete with that, started going way over points (also not healthy). It was pretty ugly around our house until I figured out what was going on. Now we're on a strict, don't ask, don't tell policy when it comes to how many points we've eaten, and things are a lot better.
You're well on way to losing that 20 lbs. Keep up the great work! Don't worry too much about what your sister is doing. You can't control her, only yourself.
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