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.

      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.

      Thus, my present age is 12 years.