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


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

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NRICH (University of Cambridge)

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