NRICH: Sum and Differences

Three numbers add up to 100.

The difference between the two larger numbers is 12.
The difference between the two smaller numbers is 2.

What are the numbers?

This problem is taken from the World Mathematics Championships

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

Age 11 to 14

STEAM Topics Resource Audience Grade Level Tags

Math Topics

Algebra & Pre-Algebra, Linear Equations

Middle School, High School

6th Grade, 7th Grade, 8th Grade, 9th Grade

NRICH, Linear Expressions

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NRICH (University of Cambridge)

The links below take you to a selection of short problems based on UKMT junior and intermediate mathematical challenge questions.

https://nrich.maths.org/shorts

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