Mixing RAM is always a crap shoot and having it work isn't a guarantee. It's advisable to not bother trying. That said, so long as the voltages are the same, most mobos will allow mixed RAM so long as the size of the DIMMs are the same capacity. If the timings aren't that far apart, whatever the faster RAM is will be down clocked to match that of the slower RAM. That is... if it works at all. If I were you, I'd take the newer set you acquired back to the store.
Even if you pair the exact same RAM but purchase it later, there's still no guarantee. It's best to always buy the amount you want and in a matched set as those will be fully tested to work as one and without question or issue.