There are between 72 and 99 marbles in a container. The marbles can be shared equally among 9 or 11 children. What is the greatest possible number of marbles in the container?
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99
Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99
Lowest common multiple of 9 and 11 = 99
Multiples of 99: 99
Greatest possible number of marbles = 99
Answer(s): 99