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      Question

      Find the ratio of Ram’s age to Rahul’s

      age.  Statement I: Ram’s age is equal to Alok’s age and Alok age is 2 years less than Rahul’s age . Ratio of Rahuls’s age to Ajit’s age is 9:8.  Statement II: Sum of Ram’s & Alok’s age is one year less than the sum of Rahul’s age and Ajit’s age. 
      A The data in either statement I or statement II alone is sufficient to answer the question Correct Answer Incorrect Answer
      B The data in statement I and statement II both are required to answer the question. Correct Answer Incorrect Answer
      C The data in statement II is alone sufficient to answer the question while data in statement I is not sufficient to answer the question Correct Answer Incorrect Answer
      D The data in statement I is sufficient to answer the question while data in statement II is not sufficient to answer the question Correct Answer Incorrect Answer
      E The data in statement I and statement II are not sufficient to answer the question. Correct Answer Incorrect Answer

      Solution

      Statement I

       Let the present age of Alok be ‘x’ years.

      Ram’s age = Alok’s age  = ‘x’ years.

      Rahul’s age = (x+2) years

      ATQ,

      Rahul's age Ajit's age = 9/8

      (x+2)/Ajit = 9/8

      Ajit’s age = 8/9 x (x+2)

      Statement II: 

      x+x = (x+2) + 8/9 x (x+2)-1

      2x =  (x+2) x 17/9 -1 

      2x-(17/9)x = 34/9 -1

      x/9 = 25/9

      x=25

      ALok’s age = Ram’s age = 25 years

      Rahul’s age = 25+2 = 27 years 

      Ajit’s age = (8/9) x 27 = 24 years.

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