A sum of rs 3000 is distributed amongst A, B, and C. A gets 2/3 of what B and C got together and c gets 1/3 of what A and B got together, C's share is?

• A+B+C=3000 from data it is clear that A=2/3(B+C) and C=1/3(A+B)
  ==> 3C=A+B so replace A+B can be replaced by 3c.....
  ===> 4c=3000 and now c=3000/4===>750... So c gets 750
• 11 years agoHelpfull: Yes(94) No(5)
• LET A+B+C=3000----1
  A=2/3(B+C)----2
  C=1/3(A+B)----3
  PUT THE VALUE OF C IN FIRST EQUATION
  A+B+1/3(A+B)=3000
  SOLVING THE ABOVE EQUATION WE GET THE VALUE
  OF A+B=2250 PUT THIS VALUE IN EQUATION 3 AN
  WE GET THE ANS C=750
  
• 11 years agoHelpfull: Yes(23) No(1)
• A+B+C=3000 From data given...
  So,A+B=3000-C
  So C=1/3(3000-C)From data..solving it we get
  C=750
  
• 11 years agoHelpfull: Yes(11) No(3)
• all the matter is unwanted exept a+b+c=3000
  and c=1/3(a+b) by 3rd sentence
  therefore, a+b+c=3c+c=4c
  4c=300
  c=750
• 11 years agoHelpfull: Yes(7) No(1)
• A+B+C=3000----1
  A=2/3(B+C)---2
  C=1/3(A+B)---3
  1/3(A+B)+A+B=3000
  4(A+B)=9000
  A+B=2250
  C=1/3(2250)
  C=750
• 10 years agoHelpfull: Yes(3) No(1)
• simple
  c gets 1/3 of what A and B got together means
  c/(a+b)= 1/3
  c gets=1*3000/4 =750
• 10 years agoHelpfull: Yes(2) No(2)
• As A+B+C=3000. And A=2/3(B+C).
  Also C=1/3(A+B).
  So, 3C=A+B.
  Hence now we can substitute A+B by 3C.
  So final equation will be 3C+C=3000.
  Hence , 4C=3000.
  Therefore, C=750.
• 9 years agoHelpfull: Yes(1) No(1)
• A+B+C=3000
  A=2/3(B+C)=>3A=2B+2C
  C=1/3(A+B)=>3C=A+B
  3C+C=3000
  4C=3000
  C=3000/4
  C=750
  
  Answer is 750
• 9 years agoHelpfull: Yes(1) No(1)
• first multiply A+B+C=3000 with 2 on both hand side and we will get 2A+2B+2C=6000
  2(A+B)+2C=6000=>2*3C+2C=6000 we get this by placing the value of A+B from equation C=(A+B)/3
• 9 years agoHelpfull: Yes(0) No(1)
• a=2/3(b+c) = a/(b+c)=2/3
  c=1/2(a+b) = c/(a+b)=1/2
  
  a=2/5(3000)= 1200 (as the total share for a is 5!! (2+3))
  c=1/3(3000)=1000 (as the total share for c is 3!!(1+2))
  
  therefore c's share is 1000
• 5 years agoHelpfull: Yes(0) No(0)
• time saving solution. We know A+B+C=3000
  A=1/3(A+B)
  =>B=3C-A
  Thus equation is A+3C-A+C=3000
  C=750
  I didn't expect I get answer just by using second condition alone :):)...
• 4 years agoHelpfull: Yes(0) No(0)
• time saving solution. We know A+B+C=3000
  C=1/3(A+B)
  =>B=3C-A
  Thus equation is A+3C-A+C=3000
  C=750
  I didn't expect I get answer just by using second condition alone :):)...
• 4 years agoHelpfull: Yes(0) No(0)