A) 9
B) \[\frac{9}{2}\]
C) 18
D) 27
E) 15
Correct Answer: B
Solution :
Let the two numbers be a and b. Since, \[\frac{2ab}{2A}=4,A=\frac{a+b}{2}\]and\[G=\sqrt{ab}\] \[\therefore \] \[\frac{2ab}{2A}=4\Rightarrow A=\frac{ab}{4}\] and \[{{G}^{2}}=4A\] Given, \[2A+{{G}^{2}}=27\] \[\therefore \] \[2A+4A=27\] \[\Rightarrow \] \[A=\frac{9}{2}\]You need to login to perform this action.
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