Question

A.M. of two integral numbers exceeds their G.M by 2 and the ratio of the numbers is 1:4. Then the
numbers are
(a) 5,20
(b) 1,4 (c) 2,8
(d) 4,16​

Answer 1

Answer:

Let required numbers are a and b.

Now, AM =

2

a+b

and GM =

ab

According to the question,

AM = GM +2

⇒

2

a+b

=

ab

+2 ...(i)

and

b

a

=

1

4

⇒a=4b ...(ii)

On solving equations (i) and (ii), we get

a=16,b=4