# 5 Skills To Master In Problems on Ages And Calculation

Problems on Ages Calculation is an important topic to be covered in competitive exams preparation be it for IBPS Clerk, PO, RRB, SO, or SBI Clerk or PO Exams. The number of questions and the complexity of questions vary from exam to exam every year.

Problems on Ages Calculation are complex in nature and require an understanding of Ratio and Proportion, Percentage Calculation, and Math Tables. Example Problems on Ages Calculation and practice questions on Age Calculation are given in this article.

Nowadays, questions in exams are mixed with multiple concepts and it requires practice and a deep understanding of basic concepts along with quickly identifying numbers.

## What is Age Calculation?

Age Calculation questions or problems on ages are common nowadays in competitive exams and in these types of problems or questions, information is co-related with someone else and needs to find out the actual age of that person.

Let’s understand this type of problem with the help of an example:
For Example, Father is 10 times older than a son. If the present age of the son is 3 years then what will be the present age of the Father?
Solution: Father age will be 10 x Son’s age => 10 x 3 = 30 Years.

Below are the 5 Skills To Master In Problems on Ages Calculation:

### Ratio

Ratio calculation is also a method to find out the age of an individual from the given question. In Ratio Question for Problems on Ages Calculation, two or more people’s age are given in ratio and need to find the actual age of any given person.

For Example Ratio of age between Father and Son is 1:10. If the present age of the son is 3 years then what will be the present age of the Father?
Solution: Father age will be 10 x Son’s age => 10 x 3 = 30 Years.

### Formula I

Direct value substitution in the below-given formula:

Age = (T1 x (y -1))/ (y – z)

Application of Formula I: T1 years earlier, the father’s age was ‘y’ times that of his son. At present, the father’s age is ‘z’ times that of his son. What is the present age of the son?

### Formula II

Direct value substitution in below-given formula:

Age = (T1 x (y – 1) + T2 x (z – 1))/(y – z)

Application of Formula II: T1 Years ago the age of the father was ‘y’ time the age of his son. After T2 years the age of the father became Z times the age of his son. What is the present age of son?

### Formula III

Direct value substitution in below-given formula:

Age = (Total Age +/- Number of Years after or ago x (Times – 1))/(Times – 1)

Note: + is for ago and – is for after

Application of Formula III: The sum of the age of the mother and her daughter is ‘y’ years also ‘z’ years ago the mother’s age was ‘x’ time the age of the daughter. What is the present age of the mother and the daughter?

## Formula IV

Direct value substitution in the below-given formula:

The present age of Father and Son is x:y
After ‘t’ years new ratio is a:b, then

Son’s Age = y x ((t x (a -b))/(x x b) – (y x a))
Father’s Age = x x ((t x (a -b))/(x x b) – (y x a))

## Practice Problems on Ages Calculation

Below are a few practice problems on Ages Calculation:

1. The ratio of age of A and B is 3:4. If A’s age is 18 years then what will be the age of B?
2. The ratio of age of A, B, and C is 4:5:6. The total of their ages is 90 years. Find the age of C.
3. The Sum of a father and Son’s age is 60 years. Also 6 years ago Father’s age was 8 times the age of the Son. What is the present age of Father and Son?
4. 3 years earlier the father’s age was 5 times that of this son. At present, the father’s age is 4 times that of his son. What is the present age of the son and the father?
5. The ratio of age between A and B is 4:5 after 5 years the new ratio is 5:7. Find the age of B.

## Final Words

Practicing the above Problems on Ages Calculation is not the end of your practice, but it’s the start of a new journey to apply logic to Age Calculation with multiple approaches in a right and faster way.

For cracking competitive exams one must practice Problem on Ages Calculation without a calculator is a must. At last, during the exam, if a solution for the Age Calculation question cannot be found easily then mark that question to revisit and move ahead instead of wasting time and energy.