# Are you joking?

**Number Theory**Level 4

Jack said:"I'm 37 and my wife is 32; we have got 3 sons: Luisa who is 11, Carl, who is 7 and Alex who is......... If you would like to know Alex's age, it's enough to elevate my age to the exponent 'age of my mother-in-law', divide the result by Luisa's age and see the remainder. But that's not all: you can also elevate my wife's age to the 'age of the waitress',divide the result by Carl's age and see the remainder. In both cases the result is the same: Alex's age. However, while you solve the problem, i will go to supermarket to buy a candle for Alex's cake. I'll add it to the candles of last year".

So, which is Alex's age??

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