Sunday Times Teaser 2730 – It’s a Lottery
by Robin Nayler
Published: 18 January 2015 (link)
I regularly entered the Lottery, choosing six numbers from 1 to 49. Often some of the numbers drawn were mine but with their digits in reverse order. So I now make two entries: the first entry consists of six two-figure numbers with no zeros involved, and the second entry consists of six entirely different numbers formed by reversing the numbers in the first entry. Interestingly, the sum of the six numbers in each entry is the same, and each entry contains just two consecutive numbers.
What (in increasing order) are the six numbers in the entry that contains the highest number?