Jesus vs. Old Age.

Would there have come a point at which Jesus would have stopped aging? Would he have reached old age, period?

Assuming for the moment that the Garden of Eden scenario really happened, and Adam and Eve were real people, would they have produced the way humanity does today? The normal course that we see today is that people are born, live, and then die of old age. Yet in the Garden, there was no death. So no would in the Garden -- assuming Adam and Even had offspring -- would have died of old age. I'm just wondering what the cut-off point was in terms of aging. Where would the body have said, "Age this far, and no farther?"

There's the idea that Jesus was without sin. Yet at the same time, he was born into this world and growing up in the same manner that all other people do. For all outward appearances, he would've died of old age at some point in time, thus receiving that wage that sin pays.

(Come to think of it, I vaguely remember some series like Left Behind touching on this, in that all the people who were Raptured to Heaven were then in bodies that were at the age of 33, and would be that age for eternity. It was somehow connected to the age of Jesus when he started preaching or was crucified).