Solving Statements Involving Age


 
 
Concept Explanation
 

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
(More Questions for each concept available in Login)
Question : 1

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
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

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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Explanation
 
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