If two distinct natural numbers have a Geometric Mean of 7, find their Arithmetic Mean. 

Asked by priyanka.maz1409 | 11th Mar, 2020, 09:04: AM

Expert Answer:

 
 
The Geometric Mean of two distinct natural numbers is 7.
 
begin mathsize 16px style rightwards double arrow square root of ab space equals space 7
rightwards double arrow ab space equals space 49
rightwards double arrow straight a space equals space 1 space and space straight b space equals space 49 space.... left parenthesis since space straight a space and space straight b space has space to space be space distinct space natural space numbers right parenthesis
Arithmetic space Mean space equals space fraction numerator straight a plus straight b over denominator 2 end fraction space equals space fraction numerator 1 plus space 49 over denominator 2 end fraction equals 50 over 2 equals space 25
end style

Answered by Yasmeen Khan | 11th Mar, 2020, 11:53: AM