Young Barry was in Denver when he died, the statement said.
He had graduated in June from the University of Puget Sound.
No information was immediately available about the circumstances of his death, including what substance was responsible.
The Tennessean said his death occurred in Littleton, Colo., a suburb of Denver where he moved after graduation. The Jefferson County coroner told the paper that the results of an autopsy were not yet available.
Max Barry was described as “smart” and “personable” by Dean Masullo, a former adviser to him when he was a student at the University School of Nashville, the paper said. He was working in construction.
More than half a million people died of drug overdoses between 2000 and 2015, most of them involving opioids, according to the Centers for Disease Control and Prevention.
Megan Barry was elected in 2015 after serving as a member of the Metro Council. She holds an MBA from Vanderbilt University’s Owen School of Management and had worked as a compliance officer for private companies before attaining public office. Her husband, Bruce, is a professor of organizational studies at Vanderbilt.
Correction: An earlier version of this story misidentified the school Max Barry attended. It was the University School of Nashville not the University of Nashville.