.i just finished three marbles games and have twenty one marbles. In the first game ,I lost half my marbles. In the second game I won eleven times what I had at the end of first game. In the third game ,I won 9 marbles. How many marbles did I have when I started playing a)8 b)6 c)2 d)4

• let the marbles be x before the first game.
  
  after first game .... marbles left is x/2
  after second game .... marbles left is x/2 + 11x/2
  after third game..... marbles left is x/2 + 11x/2 + 9
  
  now x/2 + 11x/2 + 9 =21
  12x/2 = 12
  x = 2
  
  Ans is option c) 2
• 9 years agoHelpfull: Yes(14) No(0)
• 2.
  
  end of first game, i lost 1 ..... left 1
  end of second game, i won 1*11=11 ..... left 1+11=12
  end of third game, i won 9 ..... left 12+9=21
• 9 years agoHelpfull: Yes(2) No(0)
• let the no of marble before first game is x
  after first game no of marbles=x/2
  after second game no of marbles=x/2+11*x/2=6x
  after 3rd game no of marble=6x+9=21
  6x+9=21
  x=2
• 9 years agoHelpfull: Yes(1) No(0)
• start with options
  a) 8
  8/2=4
  4+4*11=48
  48+9=52 which is not equal to 21
  b) 6
  6/2=3
  3+3*11=36
  36+9=45 not equal to 21
  c) 2
  2/2=1
  1+1*11=12
  12+9=21 hence answer
  
• 9 years agoHelpfull: Yes(1) No(0)
• on checking through options
  we get answer very much easily. (c) is the right answer
• 9 years agoHelpfull: Yes(1) No(0)
• let i had x no of marbles at first.
  after first game i had x/2
  after second game i had 11*x/2
  after third game i had 9
  x/2+11*x/2+9=21
  or, 6x+9=21
  or,x=2
  ans-C
• 8 years agoHelpfull: Yes(0) No(0)