Question

The A. M between two numbers is 34 and their G. M is 16 the numbers are​

Answer 1

Answer:

the required numbers are 64 and 4.

Step-by-step explanation:

Let a,b be the numbers.

Then according to the problem,

2a+b=34 ....... [Arithmetic mean]

or, a+b=68 ........ (1)

And ab=16 ........ [Geometric mean]

or, ab=256

or, a(68−a)=256 ........ Using (1)

or, a2−68a+256=0

or, (a−64)(a−4)=0

or, a=64,4 then b=4,64.

So the required numbers are 64 and 4.