The sum of two consecutive even integers is 174. What is the larger integer?

Sun, 03 May 2026 18:04:19 +0000

**The sum of two consecutive even integers is 174. What is the larger integer?**
This simple puzzle about numbers sparks quiet curiosity in minds across the U.S.—why would two even integers sum to 174, and how do you find the bigger one? Though abstract, this type of mathematical reasoning plays a quiet role in problem-solving patterns widely used in coding, finance, and daily logic. Many people encounter this question while exploring trends in puzzles, early algebra learning, or even platforms focused on mental agility and structured thinking. The sum of two consecutive even integers always equals an even number—specifically 174 in this case. Consecutive even integers follow a predictable pattern: if the smaller is *x*, the next is *x + 2*. Their sum is *x + (x + 2) = 2x + 2*. Setting this equal to 174 gives *2x + 2 = 174*. Solving step-by-step: subtract 2 to get *2x = 172*, then divide by 2 to find *x = 86*. Therefore, the two integers are 86 and 88. The larger integer is 88—a result rooted in basic algebraic logic. In today’s digital landscape, such puzzles gain traction through mobile-friendly learning apps, educational TikTok/Reels content, and social media challenges centered on mental math. Users seek quick, reliable answers in short reads—perfect for mental stimulation during commutes or short breaks. This demand fuels visibility in mobile search results, especially