If Ann has 60 cards, which is six times as many cards as Heike, Heike has 60/6= <<60/6=10>>10 cards.
Anton has three times as many cards in his collection as Heike does, and since Heike has 10 cards, Anton has 10*3=<<3*10=30>>30 cards.
Ann has 60-30=<<60-30=30>>30 more cards than Anton.
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