CGPET 2018 Solved Paper

Let a and b be numbers.
Now, Arithmetic mean =

a+b

2

and Geometric mean =√ab
According to question, Arithmetic mean = Geometric mean +6
⇒

a+b

2

=√ab+6 .......(i)
and

a

b

=

9

1

⇒ a=9b ......(ii)
From Eqs. (i) and (ii), we get

9b+b

2

=√9b2+6
⇒ 5b=3b+6
⇒ 2b=6
⇒ b=3
∵ a=9b=9×3=27