Sunday Times Teaser 2971 – Six Sisters on the Ski Lift

by Bernardo Recaman

Published September 1 2019 (link)

The sum of the ages of six sisters known to me is 92. Though there is no single whole number greater than 1 that simultaneously divides the ages of any three of them, I did notice this morning, while they lined up for the ski lift, that the ages of any two of them standing one behind the other, had a common divisor greater than 1.

In increasing order, how old are the six sisters?