The sum of two numbers is 45. The sum of their quotient and is reciprocal is 2.05, the product of the numbers is?

• a + b = 45
  a/b+b/a = 2.05
  
  =>(a^2+b^2)/ab = 2.05
  
  =>((a+b)^2−2ab)/ab=2.05
  
  =>(a+b)^2 = 2.05ab + 2ab = 4.05ab
  
  => ab = 45^2 / 4.05 = 500
• 8 years agoHelpfull: Yes(63) No(9)
• how it will sum of their quotient and is reciprocal is a/b+b/a,,,, pooja
  
• 8 years agoHelpfull: Yes(9) No(0)
• ans is 500. as explained by pooja
• 8 years agoHelpfull: Yes(2) No(3)
• ans : 500 i think
• 8 years agoHelpfull: Yes(0) No(4)