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After the update on the 20th, we have seen similar results on certain keywords. Big item here: DONT FREAK OUT. The last think you want to do is start changing a bunch of items on your site, and possibly get them both removed. If you wanted to take some kind of action, you could start looking at ways to help the page you want to rank. (Personally, I think its best if you can get them both to rank on page one, as it seems like Google likes both pages.) Start to add a few links to whatever page you want showing up, both internally, and through different blog or media elements. What you want to try and do is tell Google "This is the more important page". These kinds of things are common around when Google releases an update. Sometimes things look goofy for a few months while they actually get it applied. I don't think (my theory, not proven) that Google releases its algo update all at one time, hence why they say the are "rolling out" a new update when they release it. I think it is "rolled out" over a period of time, and that could be why you are seeing such results.

Many thanks for the great response Carson.  This is very specific, helpful advice that we will be integrating into our overall content and marketing strategy. We very much appreciate you taking the time to address this inquiry.