Answer :


G.M = √ab


Given A.M=25, G.M = 20.


√ab = 20 …….(1)


…….(2)


a + b = 50


a = 50 – b


Putting the value of ‘a’ in equation (1), we get,



50b – b2 = 400


b2 – 50b + 400 = 0


b2 – 40b – 10b + 400 = 0


b(b – 40) – 10(b – 40) = 0


b = 40 or b = 10


If b = 40 then a = 10


If b = 10 then a = 40


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