if AM and GM for two numbers are 6.5 and 6 then two numbers are
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Let the two numbers be x and y .
AM = 6.5
(x+y) /2=6.5
x+y=13.......(i)
GM=6
(xy)^1/2=6
xy=36........(ii)
Solving (i) and (ii) , we get,
x=9 or 4
y=4(when x is 9) or 9(when x is 4)
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Answer:
If GM is 6 then the product of the two numbers is 36.
Other products that give 36 are 4 X 9, 3 x 12 and 2 x 18.
Among these that give the A.M. of 6.5 are 4 and 9.
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