Understanding the Concepts of Ages
Ages questions in mathematics are special kind of mathematical problems that include the ages of individuals.
A problem based on Ages usually comprises the Ages of two or more individuals and the relationship between their ages in the observed time.
Listed below are the different Ages concepts:
1. Average Based
These are some simple average problems. These types of questions can be addressed by applying fundamental average principles, such as:
Average = Sum of elements / Number of elements
Let's understand this better with an example:
Example Problem
The average age of the husband, wife, and their child 3 years ago was 27 years, and that of the wife and the child 5 years ago was 20 years. The present age of the husband is:
Solution:
Sum of the present ages of husband, wife and child = (27 * 3 + 3 * 3) years = 90 years.
Sum of the present ages of wife and child = (20 * 2 + 5 * 2) years = 50 years.
Therefore, Husband's present age = (90 - 50) years = 40 years
2. Algebra Based
These are some important Algebra problems. These types of questions can be addressed by employing foundational Algebra principles such as equation formation. Let's understand this better with an example:
Example Problem
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Solution:
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years.
3. Ratio Based
There are some important Ratio problems. These types of questions can be addressed by employing foundational Ratio principles. Let's understand this better with an example:
Example Problem
Sameer and Anand's present ages are in the 5: 4, respectively. Three years hence, the ratio of their ages will become 11: 9 respectively. What is Anand's present age in years?
Solution:
Let the present ages of Sameer and Anand be 5x years and 4x years, respectively
(5X+3)/(4X+3) = 11/9
9(5x + 3) = 11(4x + 3)
45x + 27 = 44x + 33
45x - 44x = 33 - 27
x = 6.
Anand's present age = 4x = 24 years.
FAQsFAQs
Why is understanding the concepts of Ages important?
Understanding the concepts of Ages assists in:
Understanding how Ages formulas are derived.
Addressing the Ages problems promptly and accurately.
Resolving each of the various forms of questions on Ages topic.
Is it possible to solve Ages problems without knowing the concepts?
Yes, it's possible to solve Ages questions without understanding what they entail. However, experts advise that comprehending the fundamentals is essential to address the Ages problems effectively.
What is the right way to learn Ages concepts?
The foundation of mathematics is concepts, and understanding them is critical to boosting your performance in the Quantitative Aptitude section. Visualising the Ages concepts using real-life examples is the best approach to learn the Ages concepts.
