Question

Q.26 IF A.M. between two positive number a and b is 10 and G.M. between a
and b is 6 find the numbers.​

Answer 1

Answer:

We have,

2

a+b

=10 and

ab

=8⇒a+b=20 and ab=64

Clearly,a and b are roots of the equation

x

2

−(a+b)x+ab=0

or, x

2

−20x+64=0

⇒(x−16)(x−4)=0⇒x=4,16⇒a=4,b=16 or a=16,b=4