Sunday Times Teaser 2789 – Uncle’s Gift (2)
by Richard England
Published: 6 March 2016 (link)
Last month I told you about Uncle Bill’s gifts to his nephews. Uncle Ben has also sent a whole number of pounds (less than fifty) to be shared among his three nephews Tom, Dick and Harry. Each has received a different whole number of pounds, with Tom receiving the most and Harry the least, but with Tom getting less than twice as much as Harry. Each boy’s fraction of the total gift, when expressed as a decimal, consists of three different digits recurring (as in .abcabc…), and each boy’s decimal uses the same three digits.
How much did Tom, Dick and Harry get from Uncle Ben?
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This involves only a minor change to the solution for Teaser 2785.