Twenty Crowns in the Dark

A casino floor manager blindfolds you at a table strewn with 100 100 commemorative tokens and tells you exactly 20 20 of them are lying crown-side up, the rest crest-side up. The two faces are indistinguishable by touch. Still blindfolded, you must separate the tokens into two groups containing the same number of crown-up tokens. How do you do it?

Answer

Free accounts unlock one worked solution a day. Pro includes every answer.