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# Problem On Ages Questions and Answers

## Problem On Ages Questions

### Concept of Problem on Ages

Problems On Ages Questions are a type of word problem based on algebra, which deals with the current, past, and future age of people. It can be further categorized into three forms, i.e. Questions for determining the present age, Questions for calculating the age of person after particular years, and questions that calculate the age of a person before given years. Moreover, these types of questions cover cases of different types with various combinations of ratios and fractions.

#### Important Statements and Equations used:

- If the present age is given as p, then q times the present age = ‘qp’
- If the present age is given as p, then age q years ago = p – q.
- If the present age is given as p, then 1/qth of the age is p/q.

#### Below given are some of the frequent expressions that should be remembered . In all the given expression, we assume x as the present age of a man.

- Man’s age six years ago = (x – 6)
- The woman is thrice as old as man five years ago = (Woman’s age : 3(x-5))

### Rules**:**

- It is essential to categorize the key expressions and arrange the information by assigning different variables to various unknown quantities in order to acquire the correct answer.
- Select only one variable to solve the problem.
- Use methods such as elimination and matrix to solve the equations.
- If the information in the question comprises ages at different points of time, assume the present age as ‘x.’
- If the information in the question comprises ages of different people, assume the age of the youngest person as ‘x.’
- Read the question very carefully. The phrase ‘n time more than,’ ‘after x years,’ and ‘before x years’ needs to be understood correctly.
- Check the obtained answer, both mathematically and intuitively