The age of two friends is in the ratio 5:6, after how many years will the ages be in the ratio 7:8?

• The age of two friends is in the ratio 5:6, after how many years will the ages be in the ratio 7:8?
  
  If present ages are 5x and 6x and after y years , their ages are in ratio of 7:8, then
  5x+y/6x+y = 7/8 or 40x+8y= 42x+7y or y=2x; so after 2 times the Highest common factor ( in years) of their ages now , ratio of ages will be 7:8.
• 14 years agoHelpfull: Yes(28) No(24)
• After 1/3 years of age of senior friend.
  e.g.
  If present ages are 5 yeras and 6 yrs, then after 6/3=2 years.
  if present ages are 10/12, then after 4 years.
  if present ages are 15/18, then after 6 years.
  if present ages are 20/24, then after 8 years.
  if present ages are 25/30, then after 10 years.
• 14 years agoHelpfull: Yes(17) No(24)
• let after "x" year their age will be in 7:6
  s0 equation (5+x)/(6+x)=7/8
  x=2yrs
• 14 years agoHelpfull: Yes(9) No(33)
• 5x,6x are their age
  let after y year
  5x+y/6x+y=7/8
  so, y=2x
  here we can check every option in the given question
  so if we take y=10,s
  y=2x
  x=5,so ages will be 25,30
  their ratio after 10 year is 7/8 so 10 is a correct answer.
• 10 years agoHelpfull: Yes(8) No(1)
• 2 yrs 5+x/6+x=7/8
• 14 years agoHelpfull: Yes(4) No(19)
• i thnk 5x+y/6x+y=7/8,
  we get y=2x.
  so it will be a multiple of 2
• 11 years agoHelpfull: Yes(1) No(3)
• present ratio =5:6
  after y(suppose) years ages = 5x+y:6x+y
  so,
  5x+y/6x+y=7/8
  on solving,
  y=2x
  hence after 2 years there ages becomes 7/8
  ANS: 2 years
• 11 years agoHelpfull: Yes(0) No(7)
• plz send me the material simipariyaram@gmail.com
• 9 years agoHelpfull: Yes(0) No(0)
• let us consider after x years ration will be 7:8.
  now according to question
  5+x/6+x=7/8
  now by cross multiplying it we will get the ans.
  ans is 2 years.
• 7 years agoHelpfull: Yes(0) No(0)