thirty-fifth vs 35th

thirty-fifth and 35th both are adjectives.

Word	Noun	Adjective	Verb	Adverb
thirty-fifth	No	Yes	No	No
35th	No	Yes	No	No

As adjectives, thirty-fifth and 35th are synonyms defined as:

thirty-fifth and 35th: the ordinal number of thirty-five in counting order

thirty-fifth (adjective)	35th (adjective)
the ordinal number of thirty-five in counting order	the ordinal number of thirty-five in counting order