The comments above stating that using explosives to destroy explosives 'blowing them apart' are incorrect. If you place one explosive hard up against another and detonate it it will explode as one.
If you place it CLOSE to another one it may depending on the power of the explosives and the distance. This is referred to as Sympathetic detonation - http://en.wikipedia.org/wiki/Sympathetic_detonation
Long story short - You should be able to detonate other explosives by putting your own near them as per the original ticket. In a game such as Arma the sympathetic detonation distance should be increased as it is too fiddly to attempt to place them directly or close enough to ensure sympathetic detonation (compared to the ease in real life)
More:
http://www.dtic.mil/dtic/tr/fulltext/u2/a197687.pdf (p 3)