Question

The AM of two given positive numbers is 2. If the larger number is
increased by 1, the GM of the numbers becomes equal to the AM of the
given numbers. Then the HM of the given numbers is
3

Answer 1

Answer:

Let the numbers be a and b where a>b

Given that

a+b=4

and

(a+1)b

=2

⇒ab+b=4=a+b

⇒ab=a⇒b=1(∵a



=0)

and a=3

∴HM=

3+1

2×3×1

=

2

3