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The Ages of Three Children puzzle (sometimes referred to as the Census-Taker Problem[1]) is a logical puzzle in number theory which on first inspection seems to have insufficient information to solve. However, with closer examination and persistence by the solver, the question reveals its hidden mathematical clues, especially when the solver lists down all the possible outcomes.
This puzzle illustrates the importance of close inspection while approaching a problem in number theory, while enforcing mathematical thinking and rigor, which is a foundational skill in Mathematical analysis
^Meyers, Leroy F.; See, Richard (1990-04-01). "The Census-Taker Problem". Mathematics Magazine. 63 (2): 86. doi:10.2307/2691063. JSTOR 2691063.
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