Since Dr. Pepper is the in-house math wiz, I’d like his professional opinion (although anyone else is also welcome to comment) about the mathematical veracity of the age gap theory.
If we make the following assumptions:
1) Every year an equal number of boys and girls are born.
2) No one dies before age 80.
3) All boys are married by age 29.
4) Every boy marries a girl born one calendar year after himself.
5) Every year 20 more babies are born than the previous year (half boys; half girls).
6) This scenario goes on exactly as described above for the past 500 years.
Question: In the past 200 years are there any girls over age 35 who is not married? Are there any girls who never married in the past 200 years (aside from the current crop of young ones – i.e. under 35)?
I’d like to see the mathematical conclusions with the proofs/equations if possible.