# The Census-Taker Problem

@article{Meyers1990TheCP, title={The Census-Taker Problem}, author={L. Meyers and R. See}, journal={Mathematics Magazine}, year={1990}, volume={63}, pages={86-88} }

A census taker comes to a two-family house. After obtaining the required information from a downstairs resident, the census taker asks, "Does anyone live upstairs?" "Yes, but everyone is out now. However, I can supply you with the necessary information." "How many people live upstairs?" "Three." " What are their ages, to last birthday?" "Well," the downstairs resident answers in puzzle-ese, "the product of their ages is 1296, and the sum of their ages is the house number, which you already know… Expand

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Revisiting a Number-Theoretic Puzzle: The Census-Taker Problem

- Mathematics
- 2012

The current work revisits the results of L.F. Meyers and R. See in [3], and presents the census-taker problem as a motivation to introduce the beautiful theory of numbers.

#### References

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Partitions with equal products. II

- Mathematics
- 1964

1. A. A. Albert, Finite division algebras and finite planes, Combinatorial analysis, Proc. Sympos. Appl. Math. Vol. 10, pp. 53-70, Amer. Math. Soc., Providence, R. I., 1960. 2. R. Baer,… Expand