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'Weekly Problem 34 - 2011' printed from http://nrich.maths.org/

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When you add the square of Thomas's age to Lauren's age the total is $62$. When you add the square of Lauren's age to Thomas's age the total is $176$. How old are Thomas 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.

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