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This is impossible to solve, because if I were telling the truth, then I would be lying, which doesn't make sense since I am telling the truth. If I am lying, then what I said was true and that doesn't make sense either.
There is a certain family with both girl and boy children. Each of the boys has the same number of brothers as he has sisters. Each of the girls has twice as many brothers as she has sisters. How many boys and girls are there in this family?