The sum of the present ages of Mina,Sony, and Rohan is 90 years.When Sony will be as old as Rohan is,the ratio of Rohan's age and the excess of Minna's age over one-fourth her present age would be 2:1.When Rohan was as old as Sony is,the ratio of Sony's age and Minna's age was 2:1.Find the present age of Sony?1-50 2-54 3-36 4-30 5-48

1) 1
2) 2
3) 3
4) 4
5) 5

• 
  Let the present ages of Minna, Sony and Rohan be m years, s years and r years respectively.
  
  m + s + r = 90 --------(1)
  
  Sony will be as old as Rohan is in (r - s) years.
  
  Rohan’s age then = (r + r - s) years = 2r – s years.
  
  Minna’s age then = (m + r - s) years.
  
  2r – s/m + r – s – m/4 = 2/1
  
  => s = 3m/2 ------------(2)
  
  Rohan was as old as Sony is, (r - s) years ago.
  
  Sony’s age (r - s) years ago = (2s - r) years.
  
  Minna’s age then = m – (r - s) years = (m – r + s) years.
  
  2s – r/m – r + s = 2/1
  
  r = 2m ----------(3)
  
  Also, m + r + s = 90
  
  From (1), (2) and (3), 2/3s + 2(2/3s) + s = 90
  
  S = 30. Hence, option (4) is correct.
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