In certain community, there are thousand married couples. Two thirds of the husbands who are taller than their wives are also heavier and three quarters of the husbands who are heavier than their wives are also taller. If there are 120 wives who are taller and heavier than their husbands, how many husbands are taller and heavier than their wives?

• 480
  let
  Number husbands taller than wife = x
  Number husbands heavier than wife = y
  Number of husbands taller and heaview =z
  As per given conditions
  2/3*x=z=3/4*y
  
  x=3/2 z
  
  y=4/3 z
  
  x+y-z+120=1000
  (3/2 + 4/3 -1)z=880
  z*11/6 =880
  z=880*6/11
  
  z=480
• 12 years agoHelpfull: Yes(16) No(6)
• why the condition x+y-z+120=1000
• 12 years agoHelpfull: Yes(1) No(2)
• Ans is 240
• 11 years agoHelpfull: Yes(0) No(2)
• 500 wives+500 husbands=1000 couples
  120 wives are taller and heavier than their husbands, so
  husbands taller and heavier than their wives =500 (wives)-120
  =480
• 6 years agoHelpfull: Yes(0) No(3)