There are two numbers in the ratio 8:9. if the smaller of the two numbers is increased by 12 and the larger number is reduced by 19 thee the ratio of the two numbers is 5:9.
Find the larger number?

• The two numbers are let 8x and 9x
  The equation now in the given condition
  8x-12/9x-19=5/9
  Solving, x=13/27
  The larger No.=13/27*9=13/3
• 12 years agoHelpfull: Yes(0) No(6)
• 2nos are 8x and 9x
  
  Smaller of two num is 8x is increased by 12 gives 8x+12
  
  Larger of two num is reduced by 19 gives 9x-19
  
  8x+12/ 9x-19 = 5/9(given ratio)
  
  Cross multiply , u ll get x= 203/27
  
  Substitute x in larger num 9x = 9(203/27)
  = 67.6
• 5 years agoHelpfull: Yes(0) No(0)