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Suzie was busy working in her office and helping compile Clayton’s expenses for which he has a daily elevenses allowance of less than £10 when she noticed that the three digits making up the amount of money he had spent on his elevenses and the balance of the amount unclaimed was a rearrangement of the same three digits! And furthermore, the actual full allowable amount was also an arrangement of those same three digits. How much is Clayton’s daily elevense’s allowance?

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    $\begingroup$ His allowance is 0.00 :P $\endgroup$
    – hexomino
    Commented May 16 at 11:00
  • $\begingroup$ Is this because there is no 3 digits that can be re-arranged? or is this a quess? thanks $\endgroup$
    – Steve
    Commented May 16 at 11:51
  • $\begingroup$ Is the currency important? $\endgroup$
    – z100
    Commented May 16 at 12:23

1 Answer 1

10
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Just for fun, I'm assuming this took place pre-decimilization. His allowance was £5/6/– (five pounds and six shillings). He spent £5/0/6 (five pounds and sixpence), leaving 5/6 (five shillings and sixpence).

(After decimilization, £5.04, £4.50, and 54p, or £4.50, £4.05, and 45p, work. A tip of my hat to Daniel Mathias for pointing out that £9.54, £4.95, and £4.59 do, too.)

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  • $\begingroup$ There is another solution that doesn't use the digit 0, and that pretty much sums it up. $\endgroup$ Commented May 16 at 16:43
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    $\begingroup$ It is merely the sum of the two decimal solutions you presented. It would be better as an addition to your answer rather than as a separate answer. $\endgroup$ Commented May 19 at 17:02

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