Find the two numbers whose A.M. is 25 and GM is 20.

Question

Philoid · Accepted 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