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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

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 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.

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https://nrich.maths.org/9196

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