Brothers and Sisters

A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sisters are there in the family?




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The following alphametic has only one solution. Can you find it?
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PS: You may start the number from 0.

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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.