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 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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Question : 2

Anup is four times as old as his son. If the sum of their ages is 50, find their ages.

Right Option : C
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Question : 3

Deven said , "If you add -3 to my sister's age, you   will get my age". If Deven is 12 years old, how old is his sister ?

Right Option : A
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