Story highlights Clinton has dismissed the health claims about her, saying they're part of a 'wacky strategy'

Clinton is 68 years old and Trump is 70

Washington (CNN) Rep. Sean Duffy denied Tuesday that he was peddling "conspiracy theories" about Hillary Clinton's health.

The Wisconsin Republican and Donald Trump supporter got into a tense exchange with CNN's Brianna Keilar about whether prominent Trump surrogates and supporters were perpetuating rumors that Clinton was not physically fit to be president.

"You see Mrs. Clinton with coughing fits on stage, you see her kind of stumbling on and off stage, where Mr. Trump hasn't had those kind of issues and I think that's what's brought this concern forward," Duffy said on "The Situation Room."

Clinton is 68 years old and Trump is 70.

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