Sunday Times Teaser 3113 – The Plumber’s Buckets
by Peter Good
Published Sunday May 22 2022 (link)
A plumber was trying to empty a tank containing 100 litres of water using three buckets, each marked with a different whole number of litres capacity between 10 and 20 litres. He calculated that he could exactly empty the tank, but only by using all three buckets and completely filling each bucket a different number of times. He filled and emptied each bucket the calculated number of times but the tank still contained 6 litres of water, because the smallest bucket had a dent that reduced its capacity by 3 litres.
What were the marked capacities of the three buckets?