Question

light added to light can produce darkness

Answer 1

may be it can be so that when we add a light to light it produces darkness

Answer 2

There's nothing like anti-flashlight that you can just wave around to soak up light in arbitrary spots you point it at. 

If you know the light field on a particular surface accurately enough, you can design a second light beam to cancel it, and this sort of thing gets done everyday in the field of interferometry. The catch is that to know the light to be cancelled accurately enough, you normally need to have generated it yourself, and to cancel it accurately enough over a perceptible area you need to use a beam split off from the same source, which is a bit of a cheat. 

You can't use the technique used in sound-cancelling headphones, because that relies on electronic signals to carry information back to the source. These travel at near-light speed, which is near-infinite compared to sound. Unfortunately there's nothing at all faster than light, let alone near-infinite in comparison