Problem: Simple Multiplication

If we number six cards $1,$ $2,$ $4,$ $5,$ $7,$ and $8,$ and arrange them on the table in this order:—

$1$ $4$ $2$ $8$ $5$ $7$,

we can demonstrate that in order to multiply by $3$ all that is necessary is to remove the $1$ to the other end of the row, and the thing is done. The answer is $428571.$

Can you find a number that, when multiplied by $3$ and divided by $2,$ the answer will be the same as if we removed the first card (which in this case is to be a $3$) From the beginning of the row to the end?

Solutions: 1


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References

Project Gutenberg

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

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