Jane has a small bookcase in her room that has three shelves. When she organized the seventy-two books in her fantasy book collection it was filled. She counted twelve hardcover books on the bottom shelf and half the remaining books on each of the two other shelves. How many books were on each of the last two shelves?

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Jane has a small bookcase in her room that has three shelves. When she organized the seventy-two books in her fantasy book collection it was filled. She counted twelve hardcover books on the bottom shelf and half the remaining books on each of the two other shelves. How many books were on each of the last two shelves?