2 websites, 1 business

Hey there. I work at an SEO company that has been around for nearly 10 years now.

In the last 6 months, our website has dropped to the 2nd page in ranking for our bread and butter keywords/location. Although there are 1 or 2 mainstays in the rankings, it does seem Google is favoring flight by night companies that we've never heard of right now.

There is nothing particularly spammy or bad about our website (though it is admittedly a bit outdated), and we are growing rather impatient waiting for our rankings to return.

So in the meantime, we are considering building a 2nd website that could potentially join the list of fly by night sites that are appearing on page 1 and run with that until our primary website returns to its former glory.

If anyone with experience in doing something along these lines could give some advice/pointers, it would be appreciated. Is it even possible to rank two websites that share a common address, phone number, etc.? What would you recommend?

Alternatively, if someone was interested in looking at our primary website to help us figure out what's causing our rankings issues and how we can return to page 1, we can possibly skip the whole 2nd website plan. I'll be happy to divulge more info in PMs.