Sat, 02 May 2026 18:21:42 +0000

The sum of three consecutive even integers is 306. What is the largest of these integers? This classic math puzzle sparks quiet curiosity and frequent shares across US education and problem-solving communities. For users seeking concise answers backed by clear logic, the question reveals more than just numbers—it points to patterns in sequence, divisibility, and thinking methodically. Now intensively discussed in math forums, school study groups, and mobile-friendly content platforms like Google Discover, this riddle isn’t just academic. It reflects growing interest in numerical reasoning influenced by standardized testing, skill-building apps, and the quiet pride of solving puzzles with precision. Mobile-first learners, often short on time but focused on understanding, connect deeply with the reasoning flow rather than flashy explanations. So, how does this trio of even integers add up to 306? Let’s break it down with clarity and confidence—no jargon, no ambiguity, just straightforward logic designed to stick. Understanding Consecutive Even Integers
Consecutive even integers follow a steady pattern: each number is two apart—like 16, 18, 20. Starting from any even integer, the next two are simply adding 2 each time. If we let the smallest be *n*, then the trio is *n*, *n + 2*, and *n + 4*. Their total is:
n + (n + 2) + (n + 4) = 3n + 6
Setting this equal to 306,
3n + 6 = 306
Subtract 6 from both sides:
3n = 300
Divide by 3:
n = 100