Sunday Times Teaser 2730 – It’s a Lottery

by Nick MacKinnon

Lottery numbers in the UK are between 1 and 49 inclusive.

Each week I enter twice, once with six numbers all of which have two different non-zero digits and again with these same numbers but with their digits reversed. These two entries have no numbers in common, each set has only two consecutive numbers and the numbers in each entry have the same sum.

In increasing order, what are the numbers in my entry with the highest number?