MathDB

4

Part of 1984 AIME Problems

Problems(1)

Arithmetic Means

Source:

12/1/2005
Let SS be a list of positive integers - not necessarily distinct - in which the number 68 appears. The average (arithmetic mean) of the numbers in SS is 56. However, if 68 is removed, the average of the remaining numbers drops to 55. What is the largest number that can appear in SS?