NRICH: Adding in Pairs

These are the results when 3 numbers were added in pairs. What were the numbers?

Three whole numbers, when added two at a time, give sums of 39, 48 and 51.

What is the largest of the three 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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