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.

Example: Reena is four years older than Rohan. Five years ago, Rohan's age was four times Reena'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.

              Five 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 Rohan's age was four times Reena's age.

            large 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.

Example 2: After 12 years I shall be 3 times as old as I was 4 years ago. Find my present age.

Solution     Let my present age be x years. After 12 years my age will be (x+12) years.

                4 years ago my age was (x - 4) years.

              It is given that after 12 years I shall be 3 times as old as I was 4 years ago.

                therefore ;;x+12=3(x-4)

               Rightarrow ;;x+12=3x-12

              Rightarrow ;;x-3x=-12-12

              Rightarrow ;;-2x=-24

              Rightarrow ;;frac{-2x}{-2}=frac{-24}{-2}

              Rightarrow ;;x=12

      Thus, my present age is 12 years.

Sample Questions
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Question : 1

5 years ago a man was 7 times as old as his son . He will be 3 times as old as his son after 5 years. Find their present ages.

Right Option : C
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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

The age of a man is same as his wife's age with the digits reversed. Then sum of their ages is 99 years and the man is 9 years older than his wife. The age of man and his wife is

Right Option : B
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