The sum of three consecutive even integers is 102. What is the largest integer? - Aurero
The Sum of Three Consecutive Even Integers Is 102. What Is the Largest Integer?
The Sum of Three Consecutive Even Integers Is 102. What Is the Largest Integer?
Finding the largest of three consecutive even integers that add up to 102 can be a fun and rewarding math puzzle—whether you're a student learning algebra, a teacher illustrating number patterns, or someone who simply enjoys practicing logic. In this article, we’ll walk through the steps to solve this problem clearly and confidently.
Understanding Consecutive Even Integers
Understanding the Context
Consecutive even integers are numbers that follow one after the other in the sequence of even numbers, increasing by 2. For example, if one integer is n, then the next two consecutive even integers are n + 2 and n + 4.
We are told the sum of three such consecutive even integers equals 102:
n + (n + 2) + (n + 4) = 102
Step-by-Step Equation Solution
- Combine like terms:
Add the expressions:
n + (n + 2) + (n + 4) = 3n + 6
Image Gallery
Key Insights
So, the equation becomes:
3n + 6 = 102
- Solve for n:
Subtract 6 from both sides:
3n = 96
Divide both sides by 3:
n = 32
- Find the three integers:
The middle number is 32. Therefore:
- First even integer: 32
- Second even integer: 32 + 2 = 34
- Third (largest) even integer: 32 + 4 = 36
Verify the Sum
🔗 Related Articles You Might Like:
📰 giantess city 📰 giantess fan 📰 giantess feet 📰 Why Every Mans Heart Stops When He Sees These Black Prom Dresses 📰 Why Every Micro Move Gets Trappedbayesian Curl Shows How 📰 Why Every Modern Boy Should Be Named With A Classic M 📰 Why Every Moment Feels Like It Drags On Longera Bootless Dive Into Endless Boring Noise 📰 Why Every Mood Needs A Celestial Blue Prom Dress 📰 Why Every Parent Isadding This Shadow With Bluey To Their Childs Backpack Space 📰 Why Every Serious Diyer Uses This Cable Flyheres The Secret 📰 Why Every Sleep Enthusiast Is Rushing To Install A Trundle Bed 📰 Why Every Top Team Uses This Basketball Netyou Gotta See To Believe 📰 Why Every Traveler Swears By These Hidden Us Escapes 📰 Why Every Travelers Dream Depends On Mastering The Art Of Booking Your Car On Molokailisten Now 📰 Why Every Tutor Fails With Bearing Pullers Absolute Truth Revealed 📰 Why Every Wardrobe Needs A Pair Of Brown Flats 📰 Why Every Woman Should Finally Understand Her C Cup Reality 📰 Why Everybodys Whispering About The Eerie Magic In A Bubble MewFinal Thoughts
Let’s check:
32 + 34 + 36 = 102 ✅
That confirms our solution is correct.
Final Answer
The largest of the three consecutive even integers is 36.
This simple yet powerful problem reinforces basic algebraic thinking, helps identify patterns in number sequences, and demonstrates how to translate words into equations. Next time you encounter three consecutive even integers summing to a known value, you’ll know exactly how to find the largest with ease!
