A) 12
B) 14
C) 15
D) 16
Correct Answer: D
Solution :
Since, \[(2x+3):\text{(}5x-38\text{)}\] is the duplicate ratio of \[\sqrt{5}:\sqrt{6},\] therefore \[\frac{2x+3}{5x-38}={{\left( \frac{\sqrt{5}}{\sqrt{6}} \right)}^{2}}\] \[\Rightarrow \] \[\frac{2x+3}{5x-38}=\frac{5}{6}\] \[\Rightarrow \] \[6(2x+3)=5(5x-38)\] \[\Rightarrow \] \[12x+18=25x-190\] \[\Rightarrow \] \[13x=208\] \[x=16\]You need to login to perform this action.
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