Sunday Times Teaser 2672 – 11, 12, 13 …

by Victor Bryant

To celebrate the upcoming date of 11/12/13, I have selected three integers whose sum is 2013.

The smallest of these integers is divisible by 11 and the other two are divisible by 12 and 13 respectively.

Between them they use a total of nine digits, none more than once.

What are my numbers in increasing order?