Question

If hm and gm of two numbers are in the ratio 12,13 then they are in the ratio

Answer 1

Answer:

Mark as brain list

Step-by-step explanation:

Let numbers are a and b. then

HM = 2ab/(a+b)

GM = \sqrt{ab}

HM/GM = 12/13

2\sqrt{ab} /(a+b) = 12/13

(a+b)/\sqrt{ab} = 13/6

\sqrt{a/b} + \sqrt{b/a} = 13/6

Let \sqrt{a/b} = x.then

x + 1/x = 13/6

6x2 – 13x + 1=0

x = 2/3 or 3/2

a/b = x2 = 4/9 or 9/4.