The ratio of age of the Karthick and Vasanth is 4:3. At the time of college admission the ratio of their age was 5:3 and after 4 years this ratio will become 9:7. Find how many years ago they got admission?

• 12 years
  
  Let present ages of Karthick and Vasanth be K and V years respectively, then
  K / V=4 / 3 or 3K - 4V = 0 ---(i) and
  Ratio of ages after 4 years = (K+4) / (V+4) = 9 / 7 => 7K - 9V = 8 ---(ii)
  Solving (i) & (ii), we get K=32, V=24
  Let they got admission before x years, the ratio of their ages before x years=(32-x)/(24-x)=5/3
  => 96 - 3x = 120 - 5x
  => 2x = 24 or x=12
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• Answer15
  When the karthick age is 12,vasantha age is 12 .so there ratio is 4:3
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