#### 321. The sum of two consecutive even integers is 146. What is the larger integer?
["2554: The Sum of Two Consecutive Even Integers Is 146 — What Is the Larger Integer?", "Mathematics offers simple yet elegant problems that challenge our thinking — and the equation of two consecutive even integers summing to 146 is a classic example. Whether you're a student learning algebra or a curious learner, understanding how to solve this problem unlocks foundational problem-solving skills. In this SEO-optimized article, we’ll explore the solution step-by-step and explain how to find the larger of the two even integers.", "---", "### Understanding Consecutive Even Integers", "What Are Even Integers?\nEven integers are whole numbers divisible by 2, such as ..., –2, 0, 2, 4, 6, and so on. They always follow a pattern: consecutive even numbers differ by exactly 2. For example, 34 and 36 are consecutive even integers.", "Why Consider Two Consecutive Evens?\nFollowing this pattern helps simplify algebraic expressions. If one even integer is represented as ( x ), the next even integer is always ( x + 2 ). This makes setting up and solving the equation manageable.", "---", "### Setting Up the Equation", "Let the smaller even integer be:\n( x )", "Then the next consecutive even integer is:\n( x + 2 )", "Their sum is given as 146, so we write:\n( x + (x + 2) = 146 )", "---", "### Solving the Equation", "1. Combine like terms:\n[ 2x + 2 = 146 ]", "2. Subtract 2 from both sides:\n[ 2x = 144 ]", "3. Divide both sides by 2:\n[ x = 72 ]", "So, the smaller even integer is 72.", "---", "### Finding the Larger Integer", "Since the larger even integer is ( x + 2 ):\n[ 72 + 2 = 74 ]", "---", "### The Answer", "The two consecutive even integers are 72 and 74. Their sum is 146, and the larger integer is 74.", "---", "### Why This Problem Matters (SEO Keywords Focus)", "- Sum of consecutive even integers\n- Solving linear equations in algebra\n- Even number sequences\n- Math problem-solving for students", "Mastering such problems enhances logical reasoning and algebraic fluency — key components in STEM education. Tailoring content around keywords like even integer sum, algebraic word problems, and consecutive even numbers boosts visibility in search engines, helping learners find clear, reliable solutions fast.", "---", "### Final Thoughts", "The classic problem “two consecutive even integers sum to 146” reminds us that even simple mathematics can teach powerful problem-solving techniques. With a clear setup, step-by-step solving, and real-world application, learners not only find the answer — they strengthen their mathematical mindset. Ready to tackle your next equation? Start with recognizing patterns like even numbers, and success follows naturally.", "---", "Key SEO Elements Included:\n- Clear meta-focused problem statement ✅\n- Easy-to-understand explanation of consecutive even integers ✅\n- Step-by-step equation solving ✅\n- Keyword-rich summary and heading tags ✅\n- Practical relevance for learners ✅", "Optimize your study routine with structured, keyword-rich math problems — and keep solving!\n#EvenIntegers #Algebra #MathSolving #ConsacutEvens #LearnMath"]
