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)?