Since my childhood in the 1960s, I was always taught that it was both "Hilary and Tensing". And if one summitted slightly ahead of the other (as climbers rarely climb side-by-side) they have taken that secret to their graves.
I'm amazed that, for some, it was taught otherwise.
However, the disproportionate recognition given later to Hillary is troubling. (Who even remembers the leader and organiser of the expedition - John Hunt?)
I suspect it has a lot to do with the politics of New Zealand - which was then (and still is now) a racist country with a crippling inferiority-complex.