divide 50 in to two parts such tat sum of their reciprocal is 1/12?

• let one number be x
  the other number will be 50-x
  1/x + 1/(50-x)= 1/12
  on simplification we get
  x^2-50x+600=0
  on solving we get x= 30 and X=20
• 11 years agoHelpfull: Yes(10) No(0)
• let the two numbers be x and y.
  so x+y=50
  and, 1/x+1/y=1/12
  so, y+x/xy=1/12
  12(y+x)=xy
  12(50)=xy
  thus xy=600
  or y=600/x
  now x+y=50
  x+(600/x)=50
  x^2-50x+600=0
  x^2-30x-20x+600=0
  x(x-30)-x(x-20)=0
  x=20,x=30.
  checking:
  20+30=50
  and 1/20+1/30=1/12.
  so the two numbers are 20 and 30.
• 11 years agoHelpfull: Yes(5) No(0)
• since 50 is divided into two parts so let first part be x and other part 50-x
  sum of two no is 1/12 so 1/x+1/50-x=1/12.So on solving the equation we get the quadratic equation x^2-50x+600.on solving we get x=20 and x=30
• 11 years agoHelpfull: Yes(1) No(1)
• Really super URVASHI.... thank you
• 7 years agoHelpfull: Yes(0) No(0)