The age 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?

• their present ages are
  6/(6+5) *66 = 36 & 5/(6+5) *66 = 30
  
  let after x years, their ages will be in the ratio 8:7
  
  then, (36+x)/(30+x)=8/7
  => 7*36 +7x = 8*30 + 8x
  => x=12
  
  so, after 12 years their ages will be in the ratio 8:7
• 10 years agoHelpfull: Yes(26) No(0)
• let 5x+6x=66.
  x=6
  now let y yeras after there age will be in the ratio 8:7
  so(6x+y/5x+y)=8/7(wher x=6)
  solving this we get y=12(ans)
• 10 years agoHelpfull: Yes(9) No(0)
• age ratio was 6x:5x
  sum of both age is 66.
  so, 6x+5x=66
  11x=66
  x=6
  6x:5x = 36:30
  after few years the ratio will be 8x:7x .
  sub the x value then 48:42
  so the diff b/t the two ratio is 12
  Ans: 12years
• 10 years agoHelpfull: Yes(6) No(0)
• Answer is 12 years
  
  consider x and y as the ages of two friends
  given that,
  x+y=66
  x:y=6:5
  therefore x=6y/5
  substituting x=6y/5 in x+y=66
  we get y=30 and x=36
  now consider z as the number of years
  36+z:30+z=8:7
  by cross multiplying we get z=12 years
  
  
  
• 10 years agoHelpfull: Yes(1) No(0)
• Ratio = 6:5
  Age of two friends = 66*(6/11) : 66*(5/11) = 36 : 30
  After 12yrs = 48 : 42
  so answer is 12yrs
• 10 years agoHelpfull: Yes(0) No(0)
• 6 x
  - = ----
  5 66-x
  
  by cross multiplication
  6(66-x) = 5x
  396-6x = 5x
  x=36 first person age
  therefore
  x = 66 - x
  x = 66-36
  x=30 second person age
  
  here y represent the ratio 8:7
  36 + y 8
  ------ = -
  30 + y 7
  
  by cross multiplication
  7(36+y) = 8(30+y)
  252 + 7y = 240 + 8y
  y = 12
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• ans- 12years
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• let age of one friend be 6x years and age of other friend be 5x years.
  6x+5x=11x
  or,11x=66
  so x=6
  one friend age is 36years
  other friend age is 30 years
  let after y years the ratio of age be 8:7
  (36+y)/(30+y)=8/7
  or,252+7x=240+8x
  or,x=12
  hence after 12 years the ratio of ages is 8:7
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• ans.12 years
  let, their ages is 6x & 5x respectively.
  6x+5x=66;
  x=6;
  their present ages are 6*6=36 & 5*6=30;
  let after y years their ages be in the ratio 8:7;
  so, 36+y/30+y=8/7;
  y=12;
• 10 years agoHelpfull: Yes(0) No(0)
• 6x:5x
  given 6x+5x=66;
  x=6;
  present ages are 36 & 30
  after 12 years the ratio of their ages become 8:7
• 10 years agoHelpfull: Yes(0) No(0)
• x+y=66
  6x=5y
  by solving we get
  y=30,x=36
  after 12 years their age 8:7
  ans:12
• 10 years agoHelpfull: Yes(0) No(0)