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The number of brothers Anna has is twice the number of sisters Anna has. The number of sisters Anna has is twice the number of brothers Anna has. Does Anna have any siblings? | To solve the puzzle, let’s first define two variables: Let ( b ) represent the number of brothers Anna has. Let ( s ) represent the number of sisters Anna has. According to the problem:
We can use these equations to find a contradiction or a solution. Let’s substitute the first equation into the second: Substitute ( b = 2s ) into ( s = 2b ): [ s = 2(2s) ] [ s = 4s ] Subtract ( s ) from both sides: [ 0 = 3s ] This implies that [ s = 0 ] Given that ( s = 0 ) (Anna has no sisters), and since ( b = 2s ), it follows that [ b = 2 \times 0 = 0 ] So ( b = 0 ) too (Anna has no brothers). Thus, Anna does not have any siblings at all. Both original statements point to the fact that Anna has no siblings if the stated relations have to be maintained. |
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