Sunday Times Teaser 3174 – Pensioners’ Outing
by Edmund Marshall
Published Sunday July 23 2023 (link)
A group of pensioners took a trip in a minibus, which had 11 seats for passengers, three on the back row, and two on each of the four other rows. The ages in years of the passengers were all different double-digit integers greater than 64, and for each pair of those ages there was no common factor other than 1. All seats were occupied, and, on any particular row of seats, the digits in the ages of passengers were all different. The sum of the ages of passengers on the back row was the largest possible with these conditions.
What was the age in years of the most elderly passenger sitting on the back row?