Loudness is a funny thing. It is based completely on perception, which is not the same for everyone, or for every type of sound; we all hear things differently.
However, we typically talk about a 10 dB increase in sound pressure level (SPL) to sound "twice as loud." This is psychoacoustic perception. It is based on older research, some new research suggests that 6 dB SPL increase is more correct for a perception of "twice as loud." But, in a similar vein, how cold does it need to be to feel "twice as cold?"
Now, adding two non-coherent sound sources results in SPL increase of 3.01 dB, so perceptively, while it will be noticeably louder, it should not seem to be "twice as loud." But it still might seem to be obnoxiously loud...or, maybe not!