Question

the arthematic mean between two number is 34 and their geomatric mean is 16.find the numbers. ​

Answer 1

Answer:

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Step-by-step explanation:

Let a,b be the numbers.

Then according to the problem,

2

a+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, a

2

−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.