Find x in the expression \[\frac{99}{14}+\frac{85}{x}+\frac{11}{2}=\frac{173}{7}\] |
A) 7
B) 11
C) 9
D) 3
Correct Answer: A
Solution :
\[\frac{99}{14}+\frac{85}{x}+\frac{11}{2}=\frac{173}{7}\] |
\[\Rightarrow \] \[\frac{85}{x}=\frac{173}{7}-\frac{11}{2}-\frac{99}{14}\] |
\[\Rightarrow \] \[\frac{85}{x}=\frac{346-77-99}{14}\]\[\Rightarrow \]\[\frac{85}{x}=\frac{170}{14}\] |
\[\Rightarrow \] \[x=\frac{85\times 14}{170}=7\] |
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