Problem: Simple Division

Sometimes a very simple question in elementary arithmetic will cause a good deal of perplexity. For example, I want to divide the four numbers, $701,$ $1,059,$ $1,417,$ and $2,312,$ by the largest number possible that will leave the same remainder in every case. How am I to set to work?

Of course, by a laborious system of trial one can in time discover the answer, but there is quite a simple method of doing it if you can only find it.

Solutions: 1


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References

Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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