Solving Statements Involving Age


 
 
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Solving Statements Involving Age

Solving Statements Involving Age:

While solving Problems Involving Age, we consider the age to be found as x. If in the statement it is mentioned after certain years then that value is added in the age of all the people. Similarly if it is mentioned before or ago certain years then that value is subtracted from the age of all the people.

Illustration: Reena is four years older than Rohan. Five years ago, Reena's age was five times Rohan's age. Find the ages of Reena and Rohan.

Solution  Let Rohan's age be x years. Then, Reena's age is (x+4)years.

              Six years ago, Rohan's age was (x-5) years.

              Reena's age was (x+4-5) years = (x-1) years.

            It is given that five years ago Reena's age was five times Rohan's age.

            therefore ;;x-1=5(x-5)

          Rightarrow ;;x-1=5x-25

         Rightarrow ;;x-5x=-25+1

        Rightarrow ;;-4x=-24

       Rightarrow ;;frac{-4x}{-4}=frac{-24}{-4}

      Rightarrow ;;x=6

      Hence, Rohan's age = 6 years

      Reena's age = (x+4) years = (6+4) years = 10 years.

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Sample Questions
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Question : 1

The ages of Rahul and Haroon are in the ratio 5 : 7. If four years later, the sum of their ages will be 56 years, then Rahul's present age is __________

Right Option : C
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Explanation
Question : 2

The age of a father is equal to the square of the age of his son. The sum of the age of the father and five times the age of the son is 66 years. Find their present ages.

Right Option : A
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Explanation
Question : 3

The sum of ages of a son and his father is 35 years and the product of their ages is 150. Find their present ages

Right Option : B
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Explanation
 
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