A team of 36 members is divided into groups of equal size to make a trip. Since the groups were too large to fit in a car , 3 members were taken from each group and these members then formed into two additional groups . after this , all groups had the same number of members . how many members of the team were in a group before the three members were taken out from each group ?

(A) 4 (B) 6 (C) 9 (D) 3

• Earlier 4 groups of 9 members in each group
  now 6 groups of 6 members in each group.
• 11 years agoHelpfull: Yes(12) No(1)
• equal size of groups for 36 members can be formed as :
  18x2
  12x3
  9x4
  6x6 also 4x9,3x12,2x18
  if we consider 9x4 where 9=members and 4=groups
  now 3 members taken from each (4)groups and formed two additional group:
  = 3x4 = 12members or 2 groups 0f 6 members.
  previously we considered 9 members in 4 groups after taking out 3 members from each group the new reduced size of groups will have (9-3) = 6 members
  thus all groups have 6 members
  therefore ,
  members of the team were in a group before the three members were taken out from each group = 9
  
• 11 years agoHelpfull: Yes(4) No(3)
• let there be n groups each group contains 36/n
  number of people in each group after removing people=36/(n+2)
  so 36/n-3=36/(n+2)
  solving we get 6 and -4
  so 6 is no of groups and each group contains 6 members
• 11 years agoHelpfull: Yes(2) No(0)
• let there be n groups each group contains 36/n
  number of people in each group after removing people=36/(n+2)
  so 36/n-3=36/(n+2)
  solving we get -6 and 4
  so 4 is no of groups previously and each group contained 9 members
• 11 years agoHelpfull: Yes(0) No(0)
• 36 members are divided into 4 groups each of 9 members.
• 11 years agoHelpfull: Yes(0) No(0)
• (C) 9
  
  With initially 'x' members in each group, then number of groups=36/x
  After taking out 3 members from each group, number of group formed are 2 more than the previous, so 36/(x-3)=(36/x) + 2
  x^2 -3x -54=0
  (x+6)(x-9)=0
  So x=9
• 8 years agoHelpfull: Yes(0) No(0)