Sunday Times Teaser 2497 – No Title
by DJT Hogg
Published August 1 2010 (link)
I have two jugs that hold whole numbers of pints, and together they hold two gallons. Using only the two jugs and a tap, discarding water as necessary, I can end up with a total of any whole number of pints from 1 to 16 in the two jugs combined. If I want to end up with exactly one pint in the most economical way possible, I have to draw more water than if I want to end up with exactly four pints.
What are the capacities of the two jugs?