Math challenges are a great way to test our logical thinking and problem-solving skills. One classic equation that has stumped many is the following: Despite its simplicity, 85% of people are unable to solve it within 60 seconds. Let’s break down why this equation is tricky and how you can approach solving it effectively.

Understanding the Equation

Breaking It Down

The equation is presented as: 24 : 4 (6 – 4). To solve it, we need to understand the order of operations, also known as PEMDAS/BODMAS.

Order of Operations

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). BODMAS is similar, with Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication, and Addition and Subtraction.

Step-by-Step Solution

Step 1: Solve Inside the Parentheses

First, we solve the expression inside the parentheses: $6-4=2$

Step 2: Substitute and Simplify

Replace the parentheses in the original equation with the result: $24:4\times 2$

Step 3: Division and Multiplication

Next, perform the division and multiplication from left to right: $24:4=6$ $6\times 2=12$

Thus, the solution to the equation 24 : 4 (6 – 4) is 12.

Common Mistakes

Misinterpreting the Order of Operations

A common mistake is to perform multiplication before division, leading to incorrect answers. Always remember to follow the left-to-right rule for multiplication and division.

Forgetting to Apply the Entire PEMDAS/BODMAS Rule

Sometimes, people forget to fully apply the order of operations, especially under time pressure. This can lead to errors in solving even simple equations.

Why Is It Challenging?

Time Pressure

The 60-second time limit creates a sense of urgency that can cloud judgment and lead to mistakes.

Misleading Simplicity

The equation appears simple, but the specific sequence of operations can easily trip people up, especially if they rush.

Tips for Solving Quickly

Practice Regularly

Familiarize yourself with the order of operations through regular practice. This will help you solve equations more efficiently.

Stay Calm Under Pressure

Practice solving equations under timed conditions to improve your ability to think clearly and stay calm when under pressure.

Double-Check Your Work

If time allows, quickly double-check your steps to ensure you haven’t made any mistakes.

The Importance of Math Puzzles

Boosting Cognitive Skills

Solving math puzzles enhances cognitive skills such as logical thinking, problem-solving, and concentration.

Improving Academic Performance

Regular practice with math problems can improve academic performance and make complex mathematical concepts easier to understand.

Fun and Engaging

Math challenges can be fun and engaging, providing a sense of accomplishment when solved correctly.

Conclusion

The classic equation 24 : 4 (6 – 4) may seem straightforward, but its ability to stump 85% of people within 60 seconds highlights the importance of understanding and applying the order of operations correctly. With practice and a clear approach, you can improve your problem-solving skills and tackle similar challenges with confidence. So, next time you encounter a seemingly simple math problem, remember to stay calm, follow the rules, and double-check your work. Happy solving!