If (3a+6b)/(5a+12b)=12/23 determine the value of 3a2+5b2/ab
a)19/2 b)32/3 c)9 d)31/3

• consider (3a+6b)/(5a+12b)=12/23---->eq 1
  sol eq--->1 the v vil get a/b=2/3
  div 'ab 'to the num and den for 3a2+5b2/ab
  therfore, 3*(a/b)+5*(ba)
  sub a/b=2/3 in ab eqtn
  v get 19/2
• 8 years agoHelpfull: Yes(12) No(2)
• cross multiply (3a+6b)/(5a+12b)=12/23
  23(3a+6b)=12(5a+12b)
  69a+138b=60a+144b
  equate a and b
  therefore 69a-60a=144b-138b
  a/b=2/3
  sub a=2 and b=3 in 3a^2+5b^2/ab
  the ans is 19/2
• 6 years agoHelpfull: Yes(3) No(0)
• Considering:
  (3a+6b)/(5a+12b)=24/36, we get: a = 2, b = 3
  
  Hence: 3a^2 + 5b^2/ab = 19/2
• 8 years agoHelpfull: Yes(1) No(2)