A) 4, 1
B) 12, 3
C) 16, 4
D) None of these
Correct Answer: C
Solution :
Suppose that required numbers are \[a\] and \[b\]. Now A.M.\[=\frac{a+b}{2}\] and G.M.\[=\sqrt{ab}\] Under conditions, A.M.=G.M.+ 2 \[\Rightarrow \]\[\frac{a+b}{2}=\sqrt{ab}+2\] ......(i) and \[\frac{a}{b}=\frac{4}{1}\]\[\Rightarrow \]\[a=4b\] .....(ii) From (ii) and (i), we get \[a=16\] and \[b=4\].
You need to login to perform this action.
You will be redirected in
3 sec
