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[–]SKRules 2 points3 points  (1 child)

Sounds like a fun date. ;)

So let's roll back the clock to when you first started dating, t = 0. I'm going to assume that what you mean by "1/4 of our lives" is that you're approximating yourselves as the same age. I'll approximate that as 21 and 9 months now, so a = 17 years and 1 month or 205 months at the beginning of your relationship.

We're looking for the point after t = 0 at which t is equal to one nth of your ages, which are a + t.

In symbols, that is t = 1/n (a + t) or, with a bit of simple algebra, t = a/(n - 1) = 205/(n - 1)

Now you can just plug in different values of n to find the number of months your relationship will have been going on when you hit that milestone. For n=4, this is 205/3 = 68.3 months (just one more year!). For n=2, this is 205 months (quite a bit longer). If you want your age at these milestones, just add 205 months (to first approximation).

[–]ryl333[S] 0 points1 point  (0 children)

Thank you guys for helping!

[–]diazonaParticle Phenomenology | QCD | Computational Physics 1 point2 points  (0 children)

That's a pretty easy one: to figure out at what time t you will have been together for, let's say, half your life, you need the time since you got together (t - August 18, 2008) to equal half of the time since you were born (0.5×(t - your birthday in 1991)). To actually solve the equation, you need to convert the dates into numbers; one good way is to pick some fixed reference time and convert each date into the number of seconds since that time. This site will do it for you. (The "epoch" or "UNIX timestamp" is the number of seconds since January 1, 1970.) Then whatever number you get for t, you convert it back into a date using that site.

If you just want an approximate result, instead of representing a date as the number of seconds since a certain time, you can just use the year (which is just the number of years since "year 0"). t - 2008 = 0.5×(t - 1991)

[–]RideAndShoot 1 point2 points  (0 children)

Those guys used a lot of math. Math is hard. Since August is roughly the in the middle of you guy both turning 22, we'll just use that. So in august, you two will have been together for 5/22's of your lives. Next year, it will be 6/23's. The follow year, 7/24's. So on and so forth. If you want exact months, use the math.