We will have the following:
[tex]\frac{2}{n}+\frac{1}{4}=\frac{11}{2n}\Rightarrow\frac{1}{4}=\frac{11}{2n}-\frac{2}{n}[/tex][tex]\Rightarrow\frac{1}{4}=\frac{1}{n}(\frac{11}{2}-2)\Rightarrow\frac{1}{4}=\frac{1}{n}(\frac{7}{2})[/tex][tex]\Rightarrow n=\frac{7\cdot4}{2\cdot1}\Rightarrow n=14[/tex]
So, the solution is n = 14.
