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The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. What will be the ratio of ages of son and his father after 15 years, if the sum of their present ages is 57. Statement I: Ratio of ages of son after 5 years and father’s 3 years ago is 3: 4. Statement II: Father married x years ago.  Statement III: Twice the father’s present age is 10 more than seven times the son’s present age.

The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. What will be the ratio of ages of son and his father after 15 years, if the sum of their present ages is 57. Statement I: Ratio of ages of son after 5 years and father’s 3 years ago is 3: 4. Statement II: Father married x years ago.  Statement III: Twice the father’s present age is 10 more than seven times the son’s present age. Correct Answer Either I or III

Let the present ages of son and father be ‘s’ and ‘f’ respectively,

According to the question, 

⇒ s + f = 57      ----(1) 

From statement I: 

⇒ (s + 5)/(f - 3) = 3/4 

⇒ 4s + 20 = 3f - 9

⇒ 3f - 4s = 29      ----(2) 

From statement III: 

⇒ 2f = 7s + 10 

⇒ 2f - 7s = 10     ----(3) 

Thus, either of statements (I) or (III) will give the values of ‘s’ and ‘f’ 

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