NRICH: Sum and Differences

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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

 

NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Linear Equations
Middle School, High School
6th Grade, 7th Grade, 8th Grade, 9th Grade
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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

 

NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Linear Equations
Middle School, High School
6th Grade, 7th Grade, 8th Grade, 9th Grade

What are you looking for?

Organization

NRICH (University of Cambridge)

Website URL

Type of Resource

Challenge

Assigned Categories