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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
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NRICH
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NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.

https://nrich.maths.org/
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Do you enjoy thought-provoking questions? If so, this is the place for you.

https://nrich.maths.org/9196
NRICH: Short problems for Starters, Homework and Assessment
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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