Sacred Twenty-Eight families are pure-blood at least since 1930s since then a wizard named Cantankerus Nott published a Pure-Blood Directory featuring twenty-eight families he believed to be pure-blooded, though many objected to this designation
Some pure-blood families can trace their pure-blood status through many generations of magical ancestors and deny ever having any Muggles within the family, such as the House of Black, the motto of which is "Toujours pur", meaning "Always (or Still) Pure". However, the truth is that if they ever did exist in the past, true pure-blood wizards and witches do not exist today. They merely erase Squibs, Muggle-borns and Muggles from their family trees
So true answer to your question could not been given since family can not become pure-blood, it is just a name for families that from the beginning of their lines regard themselves as superior to the rest and deleted anyone in family that did not agree with them or did something to taint that family name.