Find the sum of two consecutive even numbers, their difference of whose square is 84?

🧠 Explanation:

For two consecutive even numbers with a difference of squares equal to 84, their sum is 42 (solving: (n+2)² – n² = 84, sum = 20 + 22). For math students, this highlights algebraic equations, making it a key topic for studying number theory, problem-solving, and logical reasoning. Such problems test mathematical creativity. Understanding this ensures accurate solutions. It’s essential for mastering algebra and its applications. Studying such equations offers insights into numerical relationships, crucial for math, engineering, and competitive exams, ensuring precise problem-solving in academic and practical contexts.