Martian, Venusian, and the Human! - [IMO LongList 1971]
Source:
January 1, 2011
combinatorics unsolvedcombinatorics
Problem Statement
One Martian, one Venusian, and one Human reside on Pluton. One day they make the following conversation:Martian : I have spent of my life on Pluton.
Human : I also have.
Venusian : Me too.
Martian : But Venusian and I have spend much more time here than you, Human.
Human : That is true. However, Venusian and I are of the same age.
Venusian : Yes, I have lived Earth years.
Martian : Venusian and I have been on Pluton for the past years.It is known that Human and Martian together have lived Earth years. Find the ages of Martian, Venusian, and Human.*[hide="*"]*: Note that the numbers in the problem are not necessarily in base