Will this run league of legends and smite 60 fps maxed out?

Alright so I'm going for a budget build but I really don't want to go with the Apu, UNLESS it can run league of legends and smite 60+ fps at max settings, so here's my build

Amd Athlon II X2 3.4ghz dual core
4gb 1600mhz ram
Saphire Radeon 7770 GHZ
430 watt 80 plus PSU
NZXT Source 210 case
500gb blue hard drive(
Not using a burner)

It should handle those games fine. I have a similar system, and I run both games maxed at 60fps.

yes. definatly...

Get this video card instead of the sapphire:http://www.newegg.com/Product/Product.aspx?Item=N82E16814121642


sapphire is just fine......