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**[SOLVED] Binary star system and Apparent magnatudes**

I was asked this questing in my tetbook and can't figure out how to do it.

Suppose there is a binary system made up of two identical stars, each with an apparent

magnitude of +4.1. However, from our 40 cm telescope they appear as one star, i.e.,

they are unresolved. What would be the apparent magnitude of this ``star?"

I figure that the two stars apparent magnatudes must add together to get this magnatude somehow but I am not quite sure how, because 100 magnitude 6 stars = a magnitude 1 star. is there some simple formula to figure this out.