text: # Find out the balance if beer bottles divided between seven friends?
  
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  A box contains beer bottles if divided between 4 friends 4 bottles are balance and if divided between 5 friends 3 bottles are balance what will be the balance if divided between 7 friends (the box contains minimum no of bottles.)
  
  posted Mar 23, 2014
  
  ## 1 Solution
  
  +1 vote
  
  Let’s say total number of beer bottles in box are x. then we can say
  
  x = 4m + 4, where m is integer greater than or equal to 0.
  x = 5n + 3, where n is integer greater than or equal to 0.
  
  From above two eequations
  4m+4 = 5n + 3 = x
  => 5n – 4m = 1, where m and n are integers greater or equal to 0.
  For bottles to be minimum, lets assume m and n are 0
  thus from above equation 0 = 1, which is not true, so they cant be both 0 at same time.
  
  If you observe neither of them can be zero at a time, so Now lets take next case where m and n are 1.
  5m -4n = 1
  5 – 4 = 1
  1 = 1, which is true
  thus total number of bottles are 5+3 or 4 + 4, i.e. 8
  and if divided between 7 friends, 1 bottle will be extra.
  
  solution Mar 23, 2014 by anonymous
  
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