MathGrit
ProblemsTechniquesPricing
Sign inGet started
Back to problems

Consecutive Even vs Odd Sum

1000BeginnerAlgebra

AMC 10B · 2003 · Problem 3

The sum of $5$ consecutive even integers is $4$ less than the sum of the first $8$ consecutive odd counting numbers. What is the smallest of the even integers?

Answer choices

A
6
B
8
C
10
D
12
E
14
0 students attempted0% solvedRating 1000

Related practice paths

AMC 10 PracticeAlgebra, geometry, counting, and number theory practice.AMC 10 vs AMC 12Choose the right practice path and difficulty level.How to Review Missed AMC ProblemsTurn missed problems into a repeatable improvement loop.

Ready to check your answer?

Create an account to submit answers, save history, and track your rating.

Progressive Hints5

Unlock hints one at a time — each reveals a little more without spoiling the solution.

Step-by-Step Solutions1

Multiple solution approaches with detailed walkthroughs, unlocked after you solve the problem.

AI-Powered Grading

Instant feedback on your answer — handles fractions, decimals, and equivalent forms.

Curated problem bank

Supported tracks for AMC, AIME, MATHCOUNTS, and olympiad-style training, plus global problem sources like UKMT, Euclid, and Kangaroo.