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. A's share is?

• 400 Rs.
  
  Given A=(B+C)/3 ---(i) , B=(2/3)(A+C) ---(ii)
  From (i), B=3A-C, Substituting this value of B in (ii), 3A-C=(2/3)(A+C) or C=7A/5
  Now substituting this value of C in (ii) B=(2/3)[A+(7A/5)], B=8A/5
  As A+B+C=1600 ---(iii)
  So substituting value of B & C in terms of A in (iii), we have A+(8A/5)+(7A/5)=1600 or A=400
  So B=640, C=560
  
• 9 years agoHelpfull: Yes(0) No(0)