Just in case you don't see this in time and she changes her status, the question was:

"To my scifi friends, I have an interesting temporal issue to figure out. I have someone that I'm writing about that was taken 200 years in the future, when they were only 1 month old. When they were 27 they were returned 112 years in the past to live out their life. They lost 61 years in their time. How old are they now?"

the movies are a basic play on the grandfather paradox going back in time would to kill "person A" would be impossible even at the start of building said time machine but if the time machine is built the space time will do everything in its power to protect "person A' from "person B" (please see "The Twilight Zone" No Time Like the Past for example)

but this theory contradicts the time-line theory (back to the future)

This old eighties movie, Millennium, went into explaining the paradoxes that happen when events of the Past are altered and they begin to tear apart the Future. That did a neat job, I thought.

Star Trek somewhat cracks me up because it almost feels like they use time travel as a plot device to resolve something that went horribly awry - temporal police and prime directive and all.

like it said in the movie when the bad guys appeared it caused the timeline skew off in a new direction.