The question is if the ratio of age of two persons is 5:6,sum of present age is 33,then in how many years the ratio of their ages becomes 7:8?

• Given
  5x+6x=33
  11x=33
  x=3
  
  therefore present age is 5x=15 and 6x=18.
  
  therefore Required to find out (15+x)/(18+x)=7/8
  7(18+x)=8(15+x)
  x=6 (Ans)
• 10 years agoHelpfull: Yes(20) No(0)
• x/y=5/6
  x=5/6*y
  x+y=33
  5/6*y+y=33
  11y/6=33
  y=18
  x=15
  8*(15+m)=7*(18+m)
  m=6 ans
• 10 years agoHelpfull: Yes(6) No(0)
• Since the ratio of their ages is 5:6, their ages will be 5x,6x respectively. sum of the ages=33. i.e., 5x+6x=33 => x=3. Therefore, the present ages are 5x=15,6x=18. after y years, the ratio of their ages is 7:8 => (15+y):(18+y)=7:8 => y=6. (ANS:6)
• 10 years agoHelpfull: Yes(3) No(0)
• ANS is after 6 years
  -->>
  Let their present ages are a, b respectively,
  then from the first two conditions equation becomes,
  a/b= 5/6 and a+b=33
  solving this we get a=15 and b=18
  now
  we consider after x year their ration of age will become 7/8
  therefore we can write the equation as,
  (a+x)/(b+x)=7/8
  therefore,
  (15+x)/(18+x)=7/8
  after solving this we get,
  x=6
  
• 10 years agoHelpfull: Yes(2) No(0)
• given: say x is the age of person 1 and y be the age of person 2.
  Now the ratio of ages of persons given as x/y=5/6 ---------(1)
  given, x+y=33-------(2)
  from (1) put the value of x or y in (2) and get the value of x and y.
  x=15,y=18
  now suppose years after which ratio becomes 7/8 is Z.
  Now x+Z/y+Z = 7/8,
  15+Z/18+z = 7/8.
  z=6.
  so answer is after 6 years.
  
• 10 years agoHelpfull: Yes(0) No(0)
• present ages sum=x+y=33==> 6x+6y=198
  ratios= 6x-5y=0
  sloving both we get x=15,y=18
  wch means both are multiple consecutive of 3 /// therefore to get 7:8 multiply by 3
  7x3:8x3=21:24 diff of 15:18 and 21:24 is 6 which is no of years
• 10 years agoHelpfull: Yes(0) No(0)
• 5x+6x=33
  x=3
  ages are 15 and 18
  now
  (15+y)/(18+y)=7/8
  y=6
• 10 years agoHelpfull: Yes(0) No(0)
• Let their age be 5x and 6x
  
  Given
  5x+6x=33
  11x=33
  x=3
  
  therefore present age is 5x=15 and 6x=18.
  
  now,
  15+x/18+x = 7/8
  by solving we get x=6(ANSWER)
• 10 years agoHelpfull: Yes(0) No(0)
• 1=3
  15/18------>21/24----->6years
  
• 9 years agoHelpfull: Yes(0) No(0)
• x+y=33
  5x=6y
  by solving we get
  x=18,y=15
  after 6 years their age is 7:8
  ans:6
• 9 years agoHelpfull: Yes(0) No(0)
• their present ages will be (5*33)/11 & (6*33)/11 ie.. 15 & 18
  15+t/18+t=7/8
  on solving t=6 years
  after 6 years their ages will be in ratio of 7/8
• 9 years agoHelpfull: Yes(0) No(0)