Sunday Times Teaser 3189 – Telling Tiles
by Victor Bryant
Published Sunday November 05 2023
I have four tiles with a digit written on each of them: I shall refer to these as A, B, C and D. I have rearranged the tiles in various ways to make two 2-figure numbers and I have then multiplied those two numbers together (eg, CB times AD). In this way I have found as many answers as possible with this particular set of tiles and I have discovered that
I. The number of different answers is AB.
II. Of those answers B consist of the four digits A, B, C, D in some order.
III. There are C other 4-figure answers.
What are A, B, C and D respectively?