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 ourĀ short problems collection.

Age 11 to 14


Algebra & Pre-Algebra, Linear Equations
Middle School, High School

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