"Köszönöm, jól vagyok."

Translation: I am fine, thank you.

[stfzzed]

I love the fact that Hungarians put words in same order as Yoda :)

[neha.manoka]

putting words in the same order as Yoda does fact isn't. - I tried to be Yodaish here;)
English:
Yoda is old.
Yoda:
Old, Yoda is.
Hungarian:
Yoda öreg. = Yoda + ("he be" = "is" omitted) + old

[stfzzed]

hahahahahaha cool

[deactivated user]

What's the difference between "jó" and "jól"? Is one an adjective and the other an adverb?

[qbalint]

Jó = good, correct, right ; jól = well, fine

[Stuttgart3]

You're right.

[meimpink]

Is this more like a "no thanks, I'm good" or "I feel well, thanks?"

[neha.manoka]

this phrase is only used with the "I'm fine, thanks" meaning:
- how are you? (=hogy vagy?)
- i'm fine, thanks (=köszönöm, jól (vagyok)) - ('vagyok' can be omitted here, just as 'i'm')

the "no thanks, I'm good" phrase is not used as in English, e.g. with a waiter:
- anything else, sir?
- no thanks, I'm good -
instead of this, in most cases you just say "köszönöm, nem" (no, thanks)

[cosmo-pedant]

"neha.naboka" says (above) that: "('vagyok' can be omitted here, just as 'i'm' [can be])". Is this true? It may be generally true with the Third Person, Singular and Plural, conjugation, in conjunction with adjectives, but adverbs . . . . ?. In other words, can you say "Thanks, doing fine" in Hungarian (Koszonom, jol.)

(Please excuse my lack of diacritic marks; I must commit to learning and using a Hungarian keyboard soon.)

[bbigblue]

Yes, "Köszönöm, jól." is possible and acceptable in Hungarian. Kind of an abbreviation, but if there is context and it will not create confusion, then the "vagyok" can be omitted.

[trouvere.oublie]

Does "vagyok" mean "I am"?

[GrandTosse]

Yes, it is the first person singular form of "to be". Like in Spanish (and Italian I believe), the subject is often omitted.

[G_odp]

Can someone please explain to me when and in what context (and why) the "thank you" comes first?

[G_odp]

Wait, is it that the "thank you" just swaps to the other end of the sentence in English than it was in hungarian?

[bbigblue]

"Köszönöm, jól vagyok." and "Jól vagyok, köszönöm." are both valid in hungarian. You could say the same in english, "I am fine, thanks" vs "thanks, i am fine".