In a mathematical contest, three problems,
![A,B,C](/media/m/6/0/1/6012c28979f41c54e9b40b9fc855aa34.png)
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](/media/m/5/a/e/5ae81275ee67d638485e903bdc0e9cde.png)
, the number who solved
![B](/media/m/c/e/e/ceebc05be717fa6aab8e71b02fe3e4e3.png)
was twice the number who solved
![C](/media/m/5/a/b/5ab88f3f735b691e133767fe7ea0483c.png)
. The number of students who solved only problem
![A](/media/m/5/a/e/5ae81275ee67d638485e903bdc0e9cde.png)
was one more than the number of students who solved
![A](/media/m/5/a/e/5ae81275ee67d638485e903bdc0e9cde.png)
and at least one other problem. Of all students who solved just one problem, half did not solve problem
![A](/media/m/5/a/e/5ae81275ee67d638485e903bdc0e9cde.png)
. How many students solved only problem
![B](/media/m/c/e/e/ceebc05be717fa6aab8e71b02fe3e4e3.png)
?
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In a mathematical contest, three problems, $A,B,C$ 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 $B$?