QED Night
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Adding The Digits

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math
If I write the sum of money, £987, 5s. 4½d., and add up the digits, they sum to 36. No digit has thus been used a second time in the amount or addition. This is the largest amount possible under the conditions. Now find the smallest possible amount, pounds, shillings, pence, and farthings being all represented. You need not use more of the nine digits than you choose, but no digit may be repeated throughout. The nought is not allowed.

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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