Find the number of ways a batsman can score a double century only in terms of 4’s & 6’s?

• LCM of 6&4 is 12
  200/12=16.66
  here 16 cases possible
  and 1 case is where 50*4=200
  therefore 17 cases possible
  
• 9 years agoHelpfull: Yes(14) No(0)
• 4x + 6y = 200 ⇒2x+3y=100 ⇒x=(100−3y)/22=50−3/2y
  As x is an integer, y should be a multiple of 2.
  If
  y = 0, x = 50
  y = 2, x = 47
  y = 4, x = 44
  ...
  y = 32, x = 2
  
  So total ways are (32-0)/2 + 1 = 17 ( if 0 6's are possible) otherwise 16
• 9 years agoHelpfull: Yes(9) No(0)
• if all or fours then 50*4=200 (1st way)
  now 3 fours changed to 2 sixes
  47*4+2*6=200
  now 6 fours changed to 4 sixes
  44*4+4*6=200
  .
  .
  
  .
  finally it possible in 16 ways(50/3=16)
  48 fours changed into 32 sixes
  2*4+32*6=200
  
  
  so finally=16+1=17 ways
  
• 9 years agoHelpfull: Yes(4) No(0)
• 4x + 6y = 200
  As x is an integer, y should be a multiple of 2.
  If
  y = 0, x = 50
  y = 2, x = 47
  y = 4, x = 44
  ...
  y = 32, x = 2
  
  So total ways are (32-0)/2 + 1 = 17 ( if 0 6's are possible) otherwise 16
• 9 years agoHelpfull: Yes(3) No(0)
• 4x+6y=200
  x
• 9 years agoHelpfull: Yes(0) No(4)