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.
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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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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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 | |||
View Explanation |
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