If Sophie has twice as many dolls as Vera, then she has 2 * 20 dolls = <<2*20=40>>40 dolls
Aida has 2 * 40 dolls = <<2*40=80>>80 dolls, twice the number Sophie has.
In total, they have 80 dolls + 40 dolls + 20 dolls = <<80+40+20=140>>140 dolls
#### 140