Two men take a trip on a space ship for ten years at near the speed of light. One had died and was frozen for the trip. The other is alive. Both are 60 years old. After ten years they reach their destination. Then they take a ten-year trip back home. How will this affect their ages at both locations compared to each other and their friends? Consider if the frozen man was unfrozen or not at both stops.

Lee...

Thanks for adding interest to this site with your excellent questions. First, we must remember that space and time are relative terms and interwoven, not absolute. It is meaningless to talk about space-time without indicating a reference to something else. So when you say a 'ten year journey', do you mean ten years relative to a 'stationary' earth observer, or ten years relative to the 60 year old guys (dead or alive) who are moving at light speed? The earth observer and the rocketeers will both measure completely different times for the journey: the ten years measured by the earthly guy may be measured as only a few seconds by the near-light speed travelers. Similarly, what the earth guy measures as a "zillion" mile journey thru space relative to him, will be measured as just perhaps a few hundred thousand miles by the near-light speed travelers (the actual distance measurement is a function of their actual speed relative to the earth).
So, I will assume for your question that you mean "ten years" relative to an earth observer. Only a few seconds will have passed on the clock attached to the rocket during that time. This will be a quite normal time passage for these high speed travelers (at least for the alive one), and he cannot compare his time with earth guy's time until he returns. Assuming that when he reaches his destination in 10 years as measured by the earth guy, and immediately returns back to earth in 10 years again measured by the earth guy, he will have aged only a few seconds, and be just a hair over 60 years old upon his return, while the earth guy will have aged 20 years as measured by his watch or calendar. The dead guy will also only have been dead for a few seconds, but dead is dead, so what does it matter?

Gerry, it matters because the dead guy will be unfrozen and brought back to life. I guess what I'm getting at is, will the two men be the same age when they get back?

My childhood hero, Ted Williams, is presently frozen. (Even though he spit at me (the fans) and the press 3 times in a week, and refused to tip his hat when I saw him hit his home run in his last at bat, he still was my hero). Now when you say frozen, then unfrozen, I can only assume based on my limited biological knowledge, that the freezing temperature is such that all biological decay ceases, and that when the person is restored to life, he has not biologically aged one bit, so that he is still 60 years old whether he was frozen for 1 second or 1000 years before being unfrozen. Thus, time dilation at relativistic speeds does not matter while in the frozen state. Thus, upon the return of the high speed adventures who have been travelling at speeds unimaginably verrrrrrry close to lightspeed, the dead guy immediately unfrozen upon his return will be 60 years old, the alive adventurer will be a few seconds or minutes over age 60, depending on how close he got to lightspeed, the earthbound observer will be 80 years old, and I'll be aged 12 watching Williams belt out that last home run, and this time, he'll be tipping his hat to me, as I do now to him, with great respect.