MathematicsThe sum of age of a father and his son is years. Five years ago, the product of their ages (in years) was Determine their present ages.

The sum of age of a father and his son is years. Five years ago, the product of their ages (in years) was Determine their present ages.


  1. A
  2. B
  3. C
  4. D
     

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    Solution:

    Concept:
    Create a linear equation with two variables based on the given data and  solve them to find the current age of the father and son. We have some relationships regarding the age of father and son. You need to find her exact current age.  Find her current age by creating linear equations with two variables and  solving them.  Let's assume  the boy's current age  isYear and current age of father is Year.
    Given,
    Sum of ages of a father and his son years
    Five years ago, product of their ages years
    Let,
    Present age of father years
    Present age of son years
    Now, forming a quadratic equation,
    Clearly, cannot be 9 the age of father cannot be less than his son's age.
    Present age of father, years
    and, present age of son, years
    Therefore, the father's current age  is and the son is Hence, the correct answer is option 1 and 3.
     
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