Q. A piece of wood cut into three pieces A,B,C.are they of equal?
1)sum of the length of two pieces is 2/3rd of the original length.
2)B & C are the same length.

• length of wood = (A+B+C)
  
  sum of the length of two pieces is 2/3rd of the original length
  => B+C=(2/3)*(A+B+C)
  => 3B+3C=2A+2B+2C
  => B+C=2A ......(1)
  
  B & C are the same length => B=C .......(2)
  
  putting B=C in (1),we get, C+C=2A => C=A ......(3)
  
  (2)&(3) => A=B=C
  A,B,C are of equal length.
• 10 years agoHelpfull: Yes(22) No(5)
• A+B=2(A+B+C)/3..............(i)
  B=C.................(ii)
  from(i)
  A+B=2C.....(iii)
  from (ii)&(iii)
  A+C=2C.....(iv)
  from(iii)&(iv)
  A=C & B=C
  => A=B=C
• 10 years agoHelpfull: Yes(6) No(0)
• 1 nd 2 both required to get the answer a b and c are of same length
  we have 2 cases a) A+B=2/3L b) B+C=2/3L and we know A+B+C=L and B=C
  so case a) A+B=2/3L is equal to A+C=2/3L as B=C
  so 2A+B+C=A+L=4/3L
  ie A=1/3L nd B=C=1/2(2/3L)
  
  b)B+C=2/3L
  C=B so, B=C=1/3L and hence A=1/3L
• 10 years agoHelpfull: Yes(5) No(3)
• Let us take a blind example to solve the problem
  Let the wood is of 9 meter length.
  1)Possibility-- A= 2 meter, B= 4 meter and C= 3 meter
  here A+b=6 which is 2/3rd of 9 and also A,B & C are not equal.
  2)Possibility-- Let B= 2 meter and C= 2 meter & C= 5 meter
  Here B=C but A,B & C are not equal.
  Hence both 1 & 2 are not sufficient to give the answer.
  
• 10 years agoHelpfull: Yes(4) No(12)
• obviously eual.
  B+C=2/3
  A=1/3
  B=C=1/3
• 10 years agoHelpfull: Yes(2) No(1)
• a+b+c=x...--->1
  a+b=(2/3)x....---->2.
  therefore,c=(1/3)x.
  but b=c=(1/3)x.
  so a+b=(2/3)x,a=(2/3)x-(1/3)x.=(1/3)x.
  
• 10 years agoHelpfull: Yes(1) No(0)
• SIR kodani kranti ..what about height............good question???
• 10 years agoHelpfull: Yes(1) No(1)
• Both are required to give the answer
  see by first
  A+B=2/3(A+B+C)
  or
  C+B=2/3(A+B+C)
  or
  A+C=2/3(A+B+C)
  or
  B=C putting this into any eq we get A=B or A=C which is enough
• 10 years agoHelpfull: Yes(1) No(0)
• 1 alone gives solution, 2 alone cannot obtain the solution.
• 10 years agoHelpfull: Yes(1) No(3)
• 1 and 2 are required to for the solution
  
• 9 years agoHelpfull: Yes(1) No(0)
• u r all considering just length only ....wat abt brdth ...if we change brdth by keeping lngth they wont b equal
• 10 years agoHelpfull: Yes(0) No(2)
• Yes A,B,C are equal
• 9 years agoHelpfull: Yes(0) No(0)