As usual, Ed is right, as well as being first with the answer, but I thought I might add a little bit myself.
Ignoring the numbers, the reason a balanced line is better, and the reason it is called a balanced line in the first place is simple, and once you understand it, pretty obvious.
There are three bits of wire in a balanced line - common, hot and cold.
Basically, the hot carries the signal, the common is the return path, and the cold effectively does nothing, except for....
In a long run of cable, interference is picked up. Simply put, the same interference is picked up on both the hot and cold lines (Ok, it's not "identical", but close enough).
The device that is receiving the signal performs what is known a "phase-shifting". It takes the signal from the hot line, which now carries the signal as well as the interference, and the signal from the cold line, which is just interference, shifts the phase 180 degrees, and combines the two signals together. This phase shift cancels out what ever signal was common to both wires, namely the interference. So the end result is that you have a signal in which the interference has been cancelled out.
Voila!
So it has effectively 'balanced' the two signals together, and thus is called a balanced line.
If you want a visual picture, draw a sine wave, then draw another sine wave over the top of it, but draw it so that whenever there is a peak in the first sine wave, the second sine wave is in a trough, and vice versa. THat's phase shifting. By adding the two waves together, you get 0
eg. image the that sine wave 1 peaks at +10, so sine wave 2 would be -10 and the same point (sine1 is at a high, while sine2 is at a trough)
-10 + 10 = 0
so it all cancels out.
See, all very easy, and I only used 2 numbers.
Remember, this doesn't contradict was Ed said, just expands on it.
. Hope it helped a little
- gaffa