ab+a+b=250
bc+b+c=300
ca+a+c=216
a+b+c=?

• 2(ab+bc+ca)+2(a+b+c)=766
  2(250-a-b+300-b-c+216-a-c)+2(a+b+c)=766
  1532+2(a+b+c)=766
  a+b+c=383
• 11 years agoHelpfull: Yes(9) No(23)
• we know that
  A.M>=GM
  a+b/2>=sqrt(ab)
  or
  a+b=2*sqrt(ab)
  or
  ab+2*sqrt(ab)=250
  then
  ab=15.6(approx)
  bc=17.3(approx)
  ca=14.7(approx)
  or
  2*(a+b+c)=250-15.6+300-17.3+216-14.7
  or
  a+b+c=359.2(approx)
  is it rght???
• 11 years agoHelpfull: Yes(3) No(20)
• a + b + c = 17.65 + 12.46 + 15.14 = 45.25
• 11 years agoHelpfull: Yes(2) No(0)
• Dear Ronak you have made some mistakes but I appreciate your use of concept of AM, GM and HM. Nice was your approach but the answer for the value of (a+b+c)= 44.85.
  
  And yes indeed it is near to correct value. Thanks for the concept. :)
• 11 years agoHelpfull: Yes(1) No(6)
• 45.24
• 11 years agoHelpfull: Yes(1) No(0)
• how???please exlain!!
• 11 years agoHelpfull: Yes(0) No(0)