Gathering of solvers
The best solvers of the mathematical olympiad and their leaders came to a gathering. They all stayed in a pension with two-bed and three-bed rooms, such that all beds in these rooms were fully occupied. The two-bed rooms were exactly a third of all rooms and at the same time there were five fewer of them than three-bed rooms, no other rooms in the pension were there.
a) Determine the total number of rooms occupied by solvers, if one two-bed room was taken by the leaders.
b) Determine what was the total number of solvers who came to the gathering.
a) Determine the total number of rooms occupied by solvers, if one two-bed room was taken by the leaders.
b) Determine what was the total number of solvers who came to the gathering.
Final Answer:

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