Solving a Mathematical Puzzle: Subtract 9 from My Number, Then Divide by 3 to Get 32

Mathematical puzzles and equations are a fun and engaging way to enhance your problem-solving skills. This particular problem involves a simple yet intriguing equation that will help you practice both fundamental algebraic manipulation and critical thinking. If you subtract 9 from a certain number and then divide the result by 3, you obtain 32. The challenge is to determine what the original number is. Let's dive into solving this problem step by step.

Understanding the Problem

The problem can be expressed as an equation. Let's denote the number we are trying to find as x. The equation based on the given information is:

x - 9 / 3 32

Solving the Equation

First, we need to eliminate the division part of the equation. To do this, multiply both sides of the equation by 3:

x - 9 96

Next, we need to isolate x. To achieve this, add 9 to both sides of the equation:

x 96 9

x 105

Conclusion

Therefore, the original number is 105. To confirm, let's perform the steps mentioned in the problem:

Subtract 9 from 105:105 - 9 96Divide the result by 3:96 / 3 32

This confirms that our solution is correct. The number that satisfies the given condition is indeed 105.

Practice Your Skills

Understanding and solving such equations is not only fun but also essential for developing a strong foundation in algebra. You can find similar problems in many textbooks or online resources, which will help you improve your algebraic skills.

Do you have any more interesting mathematical puzzles or questions? Share them in the comments below, and let's continue to enjoy the thrill of solving them together!