Understanding the Relationship Between A and B through Simple Math

Today, we'll explore a basic but essential math problem that is often encountered in algebra. The problem involves determining the value of A, knowing that A is 20 more than B, and given that B is exactly 120. Let's delve into the details and solve the equation step-by-step.

Solving the Math Problem

The problem states that A is 20 more than B. Given that B is 120, we can express this relationship using the following algebraic equation:

Step-by-Step Calculation

Step 1: Calculate 20% of B.
We know that 20% of a number is equivalent to multiplying that number by 0.20. Therefore:

20% of B 0.20 times; 120

20% of B 24

Step 2: Add the result to B to find A.
Now, we add the result of 20% of B to B to find A:

A B 20% of B
A 120 24
A 144

Therefore, A is 144.

Verification of the Calculation

To ensure the correctness, let's break it down again using different methods:

Method 1: Directly using the multiplication formula:

A B 20/100 × B
A 120 20/100 × 120
A 120 24
A 144

Method 2: Using a more straightforward equation:

A 120 20 of 120
A 120 24
A 144

Conclusion and Practice

This simple math problem demonstrates the importance of understanding percentages and basic algebraic operations. Such problems are foundational in developing problem-solving skills, which are crucial for more advanced mathematics and real-world applications.

Further practice and understanding of these concepts can help build a solid foundation in mathematics. So, whether you're a student or someone looking to enhance your math skills, this problem serves as a great starting point.

Feel free to share and use this solution to help others understand the relationship between A and B. If you have other math problems or need further explanation, don't hesitate to reach out!