Famous puzzle by Sam Lloyd issued in 1882. Want to try?

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Sam Llyod

Sam Llyod

The Puzzle: Here is a famous prize problem that Sam Loyd issued in 1882, offering $1000 as a prize for the best answer.

How to arrange the seven figures and the eight ‘dots’ .4.5.6.7.8.9.0. which would add up to 82

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  • 1 Answer(s)

    The dot over a number signifies that it is a repeater which would go on for ever, as when we endeavor to describe 1/3 decimally as 0.33333 . . . . (etc)
    With a series of numbers we place the dot over the first and last, as with 0.97979797979 . . . (etc)
    The remarkable feature being that a proper fraction divided by 9s e.g. 46/99 is exactly equal to the numerator with the repeater sign followed by the decimal.

    SherlockHolmes Expert Answered on 26th July 2015.
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