How old am I?

Number Theory Level 2

Tom is older than Jeremy.

The largest common divisor of both Tom's and Jeremy's ages is 3.

The sum of both their ages are 60.

The digital roots of both ages is 3.

What is Tom's age?

Details and assumptions

A digital root is the sum of all the digits of a number until it is only left with one digit. Example: The digital root of 129 is 1+2+9=12 and 1+2=3 Thus, the digital root is 3.


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