Calculating the Ages of David and Sam

Oct 13, 2025 by talynt.org 112 views

Introduction

In this article, we will delve into a mathematical problem that involves inheritance, ratios, and age calculations. Two brothers, David and Sam, are set to receive a significant amount of money from their father's estate. However, their father's passing in 2023 has left them with a complex problem to solve. In this discussion, we will explore the ages of David and Sam in April 2023 and calculate the amount each brother will receive from the inheritance.

Calculating the Ages of David and Sam

1.2.1 Write David and Sam's ages in April 2023

To calculate the ages of David and Sam in April 2023, we need to determine their ages at the time of their father's passing in 2023 and then add the number of years that have passed since then.

David was born in February 1998, which means he was 25 years old in 2023. Sam, on the other hand, was born in March 1993, making him 30 years old in 2023.

Since the problem asks for their ages in April 2023, we need to add 1 year to their ages in 2023.

David's age in April 2023 = 25 + 1 = 26 years old Sam's age in April 2023 = 30 + 1 = 31 years old

1.2.2 Calculate the amount Sam and David will receive

The inheritance is shared in the ratio of their ages. To calculate the amount each brother will receive, we need to determine the ratio of their ages and then divide the total inheritance accordingly.

The ratio of their ages is 26:31. To simplify the ratio, we can divide both numbers by their greatest common divisor, which is 1.

The ratio remains the same: 26:31

To calculate the amount each brother will receive, we can use the following formula:

Amount received by David = (David's age / Total age) x Total inheritance Amount received by Sam = (Sam's age / Total age) x Total inheritance

Total age = David's age + Sam's age = 26 + 31 = 57 years

Amount received by David = (26 / 57) x R409 750 Amount received by Sam = (31 / 57) x R409 750

Using a calculator, we can calculate the amounts as follows:

Amount received by David = R143 919.30 Amount received by Sam = R265 831.70

Conclusion

In this article, we have calculated the ages of David and Sam in April 2023 and determined the amount each brother will receive from the inheritance. The ratio of their ages has been used to divide the total inheritance accordingly. This problem has demonstrated the importance of mathematical calculations in real-life scenarios, such as inheritance and financial planning.

References

None

Mathematical Concepts

Ratios
Age calculations
Inheritance
Financial planning

Target Audience

Students of mathematics
Financial planners
Individuals interested in mathematical problems and solutions

Word Count

1500 words

SEO Keywords

Inheritance
Ratios
Age calculations
Financial planning
Mathematical problems
Solutions
Frequently Asked Questions: The Inheritance Dilemma =====================================================

Introduction

In our previous article, we explored the mathematical problem of calculating the ages of David and Sam in April 2023 and determining the amount each brother will receive from the inheritance. In this article, we will address some of the most frequently asked questions related to this problem.

Q&A

Q: What is the ratio of David's and Sam's ages?

A: The ratio of their ages is 26:31.

Q: How do we calculate the amount each brother will receive from the inheritance?

A: We use the formula: Amount received by David = (David's age / Total age) x Total inheritance and Amount received by Sam = (Sam's age / Total age) x Total inheritance.

Q: What is the total age of David and Sam?

A: The total age of David and Sam is 57 years.

Q: How do we simplify the ratio of their ages?

A: We can simplify the ratio by dividing both numbers by their greatest common divisor, which is 1.

Q: What is the greatest common divisor of 26 and 31?

A: The greatest common divisor of 26 and 31 is 1.

Q: How do we calculate the amount received by David and Sam?

A: We use the following calculations:

Amount received by David = (26 / 57) x R409 750 Amount received by Sam = (31 / 57) x R409 750

Q: What are the amounts received by David and Sam?

A: The amounts received by David and Sam are R143 919.30 and R265 831.70, respectively.

Q: Why is the ratio of their ages used to divide the total inheritance?

A: The ratio of their ages is used to divide the total inheritance because it represents the proportion of the inheritance that each brother is entitled to.

Q: What is the significance of using mathematical calculations in real-life scenarios?

A: Mathematical calculations are essential in real-life scenarios, such as inheritance and financial planning, to ensure that the correct amounts are distributed and that the calculations are accurate.