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Blue tang will not be happy in a tank that size. It will outgrow it quickly. The need lots or room. If they get cramped the become very susceptible to getting sick and coming down with ich
No. A 60g tank is too small for 2 tangs, in fact it's not really big enough for 1. You might be OK with 1 of the less active ctenochaetus.sp bristletooth tangs.
With the proper lighting you surely can have corals in your tank. May I suggest as far as the tangs a yellow eyed Kole tang. I`m like Larry in that I think 2 in a 60 will be too much. They need plenty of space to swim. Here is the yellow eyed Kole tang.