1966 IMO Problems/Problem 1

Revision as of 07:43, 5 July 2011 by GausssWill (talk | contribs) (Created the page "1996 IMO Problems/Problem 1)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

In a mathematical contest, three problems, $A$, $B$, and $C$ were posed. Among the participants ther were $25$ students who solved at least one problem each. Of all the contestants who did not solve problem $A$, the number who solved $B$ was twice the number who solved $C$. The number of students who solved only problem $A$ was one more than the number of students who solved $A$ and at least one other problem. Of all students who solved just one problem, half did not solve problem $A$. How many students solved only problem $B$?

Invalid username
Login to AoPS