NRICH: 8 in a Row

NRICH: 8 in a Row

The sum of five consecutive integers is equal to the sum of the next three consecutive integers. Can you find the largest of these integers?

The sum of five consecutive integers is equal to the sum of the next three consecutive integers.

What is the largest of these eight integers?

This problem is taken from the UKMT Mathematical Challenges.

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Age 11 to 14

 


NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Linear Equations
Middle School, High School
6th Grade, 7th Grade, 8th Grade, 9th Grade

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NRICH (University of Cambridge)

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Resource k12

NRICH: 8 in a Row

The sum of five consecutive integers is equal to the sum of the next three consecutive integers. Can you find the largest of these integers?

The sum of five consecutive integers is equal to the sum of the next three consecutive integers.

What is the largest of these eight integers?

This problem is taken from the UKMT Mathematical Challenges.

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Age 11 to 14

 

NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Linear Equations
Middle School, High School
6th Grade, 7th Grade, 8th Grade, 9th Grade

What are you looking for?

Organization

NRICH (University of Cambridge)

Website URL

Type of Resource

Challenge

Assigned Categories