The sum of three consecutive even numbers is 90. Find the largest of these numbers. - Malaeb
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.
Image Gallery
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:
📰 This Hidden Insight Forever Changes How You See the World 📰 You Won’t Believe What This Expert Saw on MD 20/20—Shock Everyone 📰 MD 20/20 Reveals the Ultimate Secret Nobody Talks About 📰 5 Htp Side Effects 4344921 📰 Gt Independence Unleashed Why This Movement Could Redefine National Freedom 2752771 📰 Hp Enterprise Share Price 1711578 📰 Total Distance 2D Total Time D60 D40 2D 3D120 5D120 D24 6230088 📰 Frosty Paws 3359652 📰 Discover How To Have Easy Fun Every Daysimple Tips That Delight 6204872 📰 Gateway National Golf 4962912 📰 The Shocking Final Chapter Of 50 Shades Of Gray You Never Saw Comingdont Miss It 1524425 📰 Robert Millikan 7999798 📰 Ein Rechteckiges Feld Ist 150 Meter Lang Und 80 Meter Breit Ein Weg Gleicher Breite Wird Um Das Feld Herum Angelegt Wodurch Die Gesamtflche Auf 15120 Quadratmeter Erhht Wird Wie Breit Ist Der Weg 8376049 📰 Joe Louis Southern Kitchen 3410976 📰 Youll Never Guess Which Nail Shape Dominates Trending Nail Art In 2024 4752748 📰 Bank Of America Southgate Mi 9370916 📰 Unlock Fun Master Basketball Games Playing Like A Proclick Here 7569136 📰 From Lab To Breakthrough Denali Therapeutics Is Redefining Rare Disease Treatments 7614235Final 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
