1) Lance will be the exact square root of my age (admittedly Tori's birthday has nothing to do with this)
2) Tori's age will be one of the factors of both Lance's and my age.
3) Tori and Lance's ages when written down in inverse numerical order will be 36.
This further validates my point of having a BIG ASS party for my 36th and Lance's 6th birthday, if only because it's the kickoff to one of the few years that all of our ages will have any sort of mathematical significance to each other (although I guess technically relation #3 is numerology, not math).
Interestingly, the ages required for being the square of a child's age (with reasonableness) are small. Starting at expected puberty the parent must be one of these ages:
Which would make the child's age at the time of squaring be:
I question 72, but given the number of trophy wives out there, I suppose it's on the very edge of reasonable values. In another 10 or 15 years, I suppose 90 (child 10 years old) might be there as well.
For CUBES of a child's age, you get only two possibles (parent's age at child's birth/child's age): 25/3,60/4
4th powers gives you: 18/2,81/3
5th gives you: 30/2
7th: no possible dates
Note that the only overlap is at 30. Which means I missed a celebration chance already. I KNEW I should have worked this math out earlier. I honest-to-god am upset that I missed the first one.