Q) A and B are two numbers such that there G.M is 20% lower than their A.M .Find the ratio between the two numbers.

Thanks,

Ashish

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- Aug 18th 2009, 07:18 AMa69356Arithmetic mean and Geometric meanQ) A and B are two numbers such that there G.M is 20% lower than their A.M .Find the ratio between the two numbers.

Thanks,

Ashish - Aug 18th 2009, 07:38 AMmr fantastic
- Aug 18th 2009, 08:06 AMSoroban
Hello, Ashish!

My solution is similar to Mr. F's . . .

Quote:

and are two numbers such that there G.M is 20% lower than their A.M.

Find the ratio between the two numbers.

We have: .

Square both sides: .

. . which factors: .

Hence, we have: .