Age may be just a number, but in James Woods' case, it's a much higher number than his girlfriend's. The actor, 66, is now dating Kristen Bauguess, 20 -- and it appears things are going well for the two. On Tuesday, June 25, Woods showed off his much-younger companion at the New York premiere of his movie White House Down.

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Walking the red carpet at NYC's famed Ziegfeld Theatre, Woods affectionately wrapped his arm around Bauguess' waist. They wore color-coordinating outfits: a blue dress and black jacket for her, and a blue shirt and black suit for him.

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The outing came just a few weeks after Bauguess' reported run-in with the law. According to Radar Online, the young brunette was arrested in Chatham County, Ga., in early June on suspicion of two felonies: possession of marijuana and possession of a controlled substance.

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Woods -- who stars alongside Channing Tatum, Jamie Foxx, and Maggie Gyllenhaal in White House Down -- apparently has a penchant for younger women. He recently split from 26-year-old Ashley Madison after more than six years of dating.

This article originally appeared on Usmagazine.com: James Woods, 66, Debuts New Girlfriend Kristen Bauguess, 20: Picture