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Sunday Times Teaser 3065 – Members of the Jury

by Brian Gladman on June 18, 2021

by Danny Roth

Published Sunday June 20 2021 (link)

A jury had twelve members, all with different ages (at least 20 but not more than 65), except that two were twins with a common age over 40. The average age was a prime number. A counsel objected to one of the members and he was replaced by another with the result that the average age was reduced to another prime number. Between the two juries, there were twelve different ages and they formed a progression with a common difference (eg, 1, 4, 7, 10, 13, etc. or 6, 13, 20, 27, 34, etc.,). None of the individuals had a perfect square age, and the replacement jury still included both twins.

How old were the twins?

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One Comment Leave one →
  1. Brian Gladman permalink

    Here is a much faster version based on the approach used by Tony Brooke-Taylor on Jim Randell’s S2T2 site.

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