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The Square of My Age

Age 11 to 14 Short
Challenge Level

If you add the square of Thom's age to Lauren's age the total is 62.
If you add the square of Lauren's age to Thom's age the total is 176.

How old are Thom and Lauren?
 
 
 
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
 
 

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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