The ages of two friends is in the ratio 6:5.The sum of their ages is 66. After how many years will the ages be in the ratio 8:7?

• 6x+5x=66
  11x=66
  x=6
  (6*6+y)/(5*6+y)=8/7
  y=12
  years are 12.
• 12 years agoHelpfull: Yes(32) No(4)
• let 2 ages be x and y years
  so x/y=6/5 -----eqn 1
  given x+y=66 ----eqn2
  solving eqn 1 and eqn 2 gives the two ages
  and further part is easy...
• 12 years agoHelpfull: Yes(8) No(4)
• let ratio is x
  5x + 6x = 66
  x = 6
  
  now,
  30+z + 36+z = 90
  z = 12
  
• 7 years agoHelpfull: Yes(0) No(0)
• ans is 12 years..
  x/y=6/5
  x+y=66
  so x=36 and y=30
  (36+x)/(30+x)=8/7
  so, x=12...
• 7 years agoHelpfull: Yes(0) No(0)
• 6x+5x=66
  11x=66
  x=6
  ages are in ratio 6x,5x ..i.e., 36 and 30 yrs.
  given that 36+x/30+x=8/7
  (36+x)7=(30+x)8
  252+7x=240+8x
  12=x.
  so the ages will be in the ratio after 12 years.
  years are 12.
• 7 years agoHelpfull: Yes(0) No(0)
• Let the ages be 6x and 5x therefore,
  
  6x+5x=66(given)
  
  11x=66
  
  x=6
  
  now let number of year be y
  
  (6x+y)/(5x+y) =8/7
  
  putting value of x
  
  36+y/30+y=8/7
  
  252+7y = 240 +8y
  
  y=12(Ans)
• 4 years agoHelpfull: Yes(0) No(0)