The Square of My Age

Lauren and Thomas tell their ages in terms of sums of squares. Can you work out how old they really are?
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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.