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by Brian Gladman on May 10, 2014

Sunday Times Teaser 2694 – Impaired

by Angela Newing

A rod of length 40 centimetres is cut into six pieces, each of which has a length that is whole number of centimetres. The largest piece is twice the length of another piece.

There are no duplicate values in a list of the combined lengths of all possible pairs of pieces. There is only one duplicate value in a list of the combined lengths of all possible triplets of pieces.

What are the lengths of the pieces (in increasing order)?

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