35th vs thirty-fifth

35th and thirty-fifth both are adjectives.

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

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

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

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