Sunday Times Teaser 2783 – Old Boys’ Banquet
by Danny Roth
Published: 24 January 2016 (link)
George and Martha have arranged the seating plan for the annual Old Boys banquet; it involves a number of tables, each seating 50 diners. More than half the Old Boys are bringing one female guest each and the rest are coming alone. Martha wrote down three numbers, namely the number of Old Boys bringing a guest, the number of Old Boys coming alone, and the total number of Old Boys coming. George noted that the three numbers between them used each of the digits 0 to 9 exactly once.
How many Old Boys are bringing a guest, and how many are coming alone?