The sum of three consecutive even numbers is 90. Find the largest of these numbers. - jntua results
The Sum of Three Consecutive Even Numbers Is 90: How to Find the Largest Number Simply
The Sum of Three Consecutive Even Numbers Is 90: How to Find the Largest Number Simply
Are you curious about how to quickly determine the sum of three consecutive even numbers when you already know their total? Discover an easy method to solve this classic math puzzle—perfect for students, teachers, and anyone interested in numbers.
In this article, we’ll explore how to find the largest of three consecutive even numbers whose total is 90, using simple algebra and logic. We’ll also explain why this approach works and how to apply it in real-life math problems.
Understanding the Context
What Are Consecutive Even Numbers?
Consecutive even numbers are even numbers that follow each other in sequence without gaps. For example: 2, 4, 6 or 10, 12, 14.
An important rule: Every set of three consecutive even numbers can be written as:
n, n + 2, n + 4,
where n is the smallest even number.
Key Insights
Given: The Sum Equals 90
We’re told:
n + (n + 2) + (n + 4) = 90
Let’s simplify this step-by-step:
-
Add the expressions:
n + n + 2 + n + 4 = 90
→ 3n + 6 = 90 -
Solve for n:
3n = 90 – 6
3n = 84
n = 84 ÷ 3
n = 28
🔗 Related Articles You Might Like:
📰 Imagine Wearing These – No One Can Resist These Thigh-High Socks! 📰 This Hidden Fashion Secret Is Going Viral – Transform Your Outfit Tonight! 📰 The Other Board Holds The Truth No One Expected 📰 Square Area 102 100 Cm 📰 Standing At The Crossroads Separate Ways Lyrics Explain Your Journey Like Never Before 📰 Star Crossed Love Is Leo Built For Taurus Astrology Reveals The Answer 📰 Star Fox 64 Latest Twist Lylat Wars Throwdown You Cant Miss 📰 Star Fox 64S Secret Lylat Wars Showdown Argues Fans Say Its Epic 📰 Star Instantly Unlocked Littlebigplanet 3 Secrets Youve Been Missing 📰 Start Brickifying Today Lego Brickify Kit Just Changed My Game Forever 📰 Start Wielding Magic Today These Wands Will Transcend Your Imagination 📰 Start Your Day Fastthis 5 Ingredient Low Calorie Breakfast Blast Saves Calories Energy 📰 Start Your Own Lunch Truck Business Todaythis 5 Step Plan Jumps Straight To Profit 📰 State Of Shock What Leslez Does To Transform Your Life Exclusive 📰 Stay Ahead The M357 Trait Sidearm You Need To See Before It Dominates 📰 Stay Cozy All Winter With This Must Have Long Puffer Veststop Waiting 📰 Stay Elegant Anywhere With These Low Heeled Dress Bootsdont Miss Them 📰 Stay Game Inside Madden 16 Secrets Revealed That Shocked Gamers EverywhereFinal Thoughts
So the three numbers are:
28, 30, and 32
Find the Largest Number
From the calculation above, the largest of the three consecutive even numbers is:
n + 4 = 28 + 4 = 32
Quick Verification
28 + 30 + 32 = 90 ✓
The largest number is indeed 32
A Faster Way to Solve Any Such Problem
Since three consecutive even numbers follow a simple arithmetic sequence, once you use the formula for the sum:
Sum = 3n + 6,
you can solve for n, then compute the largest number as:
Largest number = n + 4 = (90 – 6)/3 + 4 = 28 + 4 = 32
