Appropriate dating age formula

There is a so-called rule about dating: the youngest age you are supposed to date is half your age plus seven.

Besides, it offers more valuable insight than the alternative, which is to shrug the shoulders and ask, “Who the heck knows?

So if you're 13, you can date anyone over \frac$. That means, to find the oldest age you can date, you have to double your age and take away 14.

But the \frac$ year old can only date people who are at least \frac$ -- so you can date them, but they can't date you. So, if you're 16, the minimum age you're supposed to date is 15; the oldest is 18. The youngest you can date is 13 1/2, but the oldest is 12.

So even somebody your own age is simultaneously too old and too young for you. It turns out that the minimum age this rule allows dating is 14 -- for extra credit, can you explain why?

While data has found that men prefer younger women as they age, analysis shows that wanting the younger ones can't exactly be said for women.

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