Sunday Times Teaser 2553 – The X-Factor
by Danny Roth
Published: 28 August 2011 (link)
George and Martha’s daughter entered a singing competition. The entrants were numbered from one upwards. The total number of entrants was a three- figure number and their daughter’s number was a two-figure number. The five digits used in those two numbers were all different and non-zero. Martha noted that the number of entrants was a single-digit multiple of their daughter’s number. George realised the same would be true if the two digits of their daughter’s number were reversed.
How many entrants were there?