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

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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