Math Problem Statement

Cricket has seen so many changes over a period of time. A new concept 2 vs. 2 is its newest version in which a team consists of only two players. They compete with various other teams. Players were ranked according to their performance in the last 1 year. Four players were selected from India to participate in the tournament. The aggregate ranks of these players taken two at a time are 49, 36, 64, 57, 43 and 51. If by using one or more of these six mentioned ranks, the coach can uniquely determine the rank of each player, then what is the difference between the rank of the best and the worst player among them?

Solution