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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.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...