A) \[4,\,\,1\]
B) \[12,\,\,3\]
C) \[16,\,\,4\]
D) None of these
Correct Answer: C
Solution :
Let required numbers are \[a\] and\[b\]. Now,\[AM=\frac{a+b}{2}\]and\[GM=\sqrt{ab}\] According to the question, \[AM=GM+2\] \[\Rightarrow \] \[\frac{a+b}{2}=\sqrt{ab}+2\] ... (i) and \[\frac{a}{b}=\frac{4}{1}\] \[\Rightarrow \] \[a=4b\] ... (ii) On solving Eqs. (i) and (ii), we get \[a=16,\,\,b=4\]You need to login to perform this action.
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