Annie has three times more toys than Mike, which means she has 3 * 6 = <<3*6=18>>18 more toys than Mike.
Annie has a total of 18+6= <<18+6=24>>24 toys.
Tom has two toys more than Annie, so he has 24 + 2 = <<24+2=26>>26 toys.
In total Annie, Mike, and Tom have 6 + 24 + 26 = <<6+24+26=56>>56 toys.
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