I’m interested in playing with marbles, In the first round I lost half of the marbles with which I started to play, in the second round I won 11 times of which I lost in first round and after the third round I won 9 more marbles. Now I have 21 marbles with me, with how many marbles did I started to play?
a. 2
b. 4
c. 11
d. 12

• Let at first i have x number of marbles.
  i lost half,
  so now i have x/2 numbers of marbles.
  now in the second round i won 11 times of which i lost,
  so now i have x/2 + 11*x/2 number of marbles.
  in the third round i won 9 more.
  so at present i have x/2 + 11*x/2 + 9
  which you equal to 21
  solving this we get,
  x = 2
  so at first i had 2 numbers of marbles.
• 9 years agoHelpfull: Yes(5) No(0)
• at 1st x
  the after 1st round remains =x/2
  won 11x/2
  then total marbles after 2nd round will be=11x/2+x/2=6x
  6x+9=21 or x=2
• 9 years agoHelpfull: Yes(2) No(0)
• let the answer be 2
  then after 1st I lost half i.e. 1 marble left
  in 2nd round i won 11 times i lost in 1st round i.e. 11 so total 12(11+1) after 2nd round
  In 3rd round i won 9 more so now total will be (12+9) equals 21
  which is same as given
  so a is correct
• 9 years agoHelpfull: Yes(0) No(0)
• we can solve the question using option
  if I consider no of marbles is 2 then
  at first he looses 1 marble leaving 1 marble
  then he won 11 times i.e 11
  so total 12
  nxt he won 9 more so
  Ans is : 21
  
• 8 years agoHelpfull: Yes(0) No(0)