Sunday Times Teaser 2509 – No Title

by Andrew Skidmore

Published October 24 2010 (link)

I won £10 on the lotto with three correct numbers (in the range 1 to 49).

I then calculated the difference between two six-figure numbers: one formed by writing my three winning numbers in descending order; the other by writing them in ascending order. I multiplied this difference by three and divided the answer by the sum of my winning numbers. I then divided the new answer by one of my winning numbers. The answer was another of my three winning numbers.

What, in ascending order, were my three winning numbers?