Divide Rs. 1600 among A, B and C so that A gets 1/3 as much as B and C together and B gets 2/3 as A and C together. C's share is?

• Lets take the amount given to A,B,C be x,y,z respectively.
  So since Total amount is 1600.
  So x+y+z=1600..........(1)
  It is said that A gets 1/3 as much as B and C together
  So
  x=1/3(y+z)
  so
  3x=y+z.......(2)
  putting 2 in 1 we get
  3x+x=1600
  so 4x=1600
  so x= 400
  Similarly
  Since
  B gets 2/3 as A and C together
  So y=2/3(x+z)
  So
  (3/2)y=x+z.......(3)
  So
  putting 3 in 1 we get
  (3/2)y+y=1600
  so
  (5/2)y=1600
  y=640
  So x=400 and y=640
  So by equation 1
  400+640+z=1600
  z=560
  So C gets 560
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