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      Question

      What was the sum of the ages of the father and

      the daughter 5 years earlier? A. Ratio of the father’s present age to the daughter’s age after 5 years is 5 : 2. B. The difference between twice the present age of the father and five times the daughter‘s present age is 20 years. C. The ratio of the age of the father after 5 Years to tha age of the daughter after 6 years is 5: 2. The following questions are accompanied by three statement A, B and C. you have to determine which statement (s) is /are necessary/ sufficient to answer the question.
      A all statements are required Correct Answer Incorrect Answer
      B B and either A or C together Correct Answer Incorrect Answer
      C Any one of them Correct Answer Incorrect Answer
      D Any two of them Correct Answer Incorrect Answer
      E Questions can’t be answered even after using all the information. Correct Answer Incorrect Answer

      Solution

      Let the present ages of father and daughter be F and D years respectively. A. [if gte msEquation 12]> F D+5 [if !msEquation]-->[endif]-->= `(F)/(D + 5)` = `(5)/(2)` [if gte msEquation 12]> 5 2 [if !msEquation]-->[endif]--> 2F = 5D + 20 2F – 5 D = 20 B. 2 F – 5 D = 20 C. [if gte msEquation 12]> F+ 5 D+6 [if !msEquation]-->[endif]--> = `(F + 5)/(D + 6)` = `(5)/(2)` [if gte msEquation 12]> 5 2 [if !msEquation]-->[endif]--> 2 F + 10 = 5 D + 30 2 F – 5 D = 20 Here, all the three equations are the same.

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