My wife wears both together (married 9 years).
My mother’s wedding band is sort of wide and slotted, so the engagement ring slides inside and they are worn together. She got it in 1966.
It’s not like anyone is going to be confused as to your marital status if you’re wearing both rings at once. And try telling a woman that her beautiful diamond ring is “obsolete” so she can’t wear it anymore. Better still, tell the guy who spent two months’ salary on it.
My Mom’s ring set was made to wear both at the same time and she was married in 1941.
My wife wears both rings and some times also the ring she got on the 25th year.
Totally standard, at least for the women I know in Northern California. I love my engagement ring and I intend to wear it every day for the rest of my life, along with my wedding band. I was told that women wear their wedding band lower (i.e. you put in on your finger first) because that puts it nearer the heart.
My husband kept insisting (jokingly) that once we were married my engagement ring would be sold on ebay, since it was no longer necessary. As I told him many times, it’s a beautiful ring with great sentimental value. There is no way I would have only worn it for 2.5 years then stuffed it in a box (and our engagement was relatively long).
I don’t think it’s tacky. I deliberately chose a small, plain wedding band because I didn’t want the two next to each other to be too big or blingy, especially as I have quite small hands. I also mentioned wanting a smallish engagement ring when he cunningly surreptitiously asked my opinions for the same reason.
Russians wear them on the right hand. As do members of other countries such as Colombia, Haiti, Denmark, Germany, Greece, Hungary, Mexico, Norway, Peru, Poland, Spain (except in Catalonia), Macedonia, Ukraine, Venezuela and Serbia.
I remove my engagement ring only when I’m doing something messy, usually in the kitchen, but I discarded this idea because I didn’t want the wedding ring to look as if there was “something missing” when the engagement ring wasn’t there (I have it at the jeweler’s for a week once a year for cleaning and insurance reappraisal, too).
But my mother-in-law wears only her engagement ring, and never her wedding ring, much to my father-in-law’s irritation. It’s a big honking diamond. She doesn’t claim that the band doesn’t fit, or give any reason at all. She just wears the diamond.
I have never removed my wedding ring. I’m not one of those “you will have to cut it off my dead hand” people – I just leave it there.
Seems like my wife is doing it wrong! 
We both think it feels more natural to leave the engagement ring on and put the wedding ring on afterwards - that’s the order they went on, after all, and as cerberus says, it’s like the wedding ring “locks” the engagement ring in place. I had vaguely heard that the tradition is to do it the other way round, but that just seems wrong to me.
Besides, my wife’s wedding ring is V-shaped so it fits round the stone on her engagement ring. I think it would look wrong if it was below it on her finger.
(Of course that opens up the whole debate about which way round the “point” should face… seems we’ve got that backwards too!)
I don’t wear my rings anymore but when I did, it was wedding ring first and then engagement ring further towards the tip. The reasoning is that the wedding band, once put on, should never be taken off but the engagement ring can be for reasons of hygiene or safety.
Unless you’re Dutch, Norwegian or (I think) Danish. Then it’s the right (hand 
) ring finger.
ETA:
I beg to differ. I take mine off every night (because my fingers swell up when I’m sleeping), or when I’m cooking, or when I’m hiking/camping, or… Well, you probably get my point. My wife keeps her on at night, but takes it off when it’s considered necessary, e.g. for hygienic reasons when she’s baking. I can’t see any good, rational reasons for never taking it off.
My mother wore her wedding and engagement rings together, they were designed for it. They had a sort of zig-zag in the middle where the jewels were and fit together.
Well, it’s not a rule and I didn’t say it was rational. I know several women who’ve never taken off their wedding rings. My grandmothers, for instance, were both buried wearing theirs. It was just ‘the done thing’ - nothing rational about it.
But, to those women who do think a wedding ring should never be taken off, wearing the engagement ring second makes more sense because that ring can be taken off without disturbing the wedding ring.
I thought this was how it was supposed to be done.
I’ve never taken off either my wedding or engagement rings for more than a minute or so. I’m a ditz, and they’re expensive. If they’re on my finger, they’re not somewhere down the back of the couch. That’s my good rational reason.
I’m only surprised the OP didn’t notice this practice before now. It is standard. I’ve never known any couples who put away the engagement ring after the wedding. For the vast majority of married couples, the engagement ring has great sentimental value. And God knows, they’re expensive enough that you wouldn’t want to just wear one for a few months until the actual wedding. I guess I’m having a hard time seeing how someone could be so pragmatic that they’d think of an engagement ring as merely a “reserved” sign that would get put away after the wedding. Maybe I’m missing something here.
Good point. Engagement rings are (in my experience) much more expensive and fancy than wedding rings, so it would be a shame to swap the big rock for a plain old wedding band for the rest of your life.
We have a wedding section?
My mother always wore both rings, married in 1970.
My dad, on the other hand, never wore his wedding band. He worked with his hands for the railroad for 30 years and a wedding band would have been a major safety hazard. Hell, I don’t even know where his wedding band went after he died.
My husband is like that. People out in public will call him on it sometimes (just to be clear, these are people who don’t know us, and don’t know that he works in a machine shop) and say how he’s “Not romantic” or that I should know that’s a common sign that “he isn’t actually in love any more.”
My response is that I never thought severed and pulverized fingers were romantic, but I’ll be sure to let *their *husbands/boyfriends know what’s expected of them.
Yes, but it is infested with zombies.