for any two numbers the ratio of HM:GM is 12:13 then the ratio of two numbers is

• Let a, b be two numbers , HM = 2ab(a+b) , GM = sqrt(ab)
  
  2ab(a+b) : sqrt(ab) = 12:13
  
  2 sqrt(ab) / (a+b) = 12/3 , or (a+b) /2 sqrt(ab) = 13/12 , using componendo and dividendo
  
  [a+b + 2 sqrt(ab)] / [a+b - 2 sqrt(ab)] =( 13+12)/(13-12)= 25
  
  [ (√a + √b) /(√a- √b) ]² = 25 , [ (√a + √b) /(√a- √b) ] = 5 or sqrt(a/b) = 6/4 , a/b = 9/4 or 9:4
• 6 years agoHelpfull: Yes(0) No(0)