In the world of math puzzles, some equations can stump even the most seasoned mathematicians. Today, we tackle a classic problem that has sparked curiosity and challenged many minds:

5 + 7(2 + 1) = ?

Upon first glance, this equation might seem straightforward, but the inclusion of parentheses and multiplication can lead to different interpretations. Let’s break it down step by step to uncover the correct answer.

The order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), guides us in solving equations like this one. According to PEMDAS, we start by solving any operations within parentheses first.

Here’s how it unfolds:

1. Inside the parentheses: Calculate $2+1$. This equals 3.Now, substitute this back into the original equation:

   $5+7\cdot 3$

2. Next step: Perform the multiplication $7\cdot 3$. This equals 21.
3. Final calculation: Add 5 to the result of the multiplication:$5+21=26$

Therefore, the answer to $5+7(2+1)$ is 26.

This simple yet intriguing equation highlights the importance of understanding mathematical principles and following the correct order of operations. Whether you’re a student brushing up on math skills or someone who enjoys puzzles, this solution reveals the beauty and logic found in solving equations.

Keep your mind sharp with more fascinating math challenges and stay tuned for the next brain-teasing puzzle!