KANSAS CITY, Mo. — Gage Workman came off the bench and hit his first major league homer, a two-run shot that sent the Detroit Tigers past the Kansas City Royals 6-3 on Sunday night to snap a five-game losing streak.Matt Vierling had a two-run double and Riley Greene reached safely four times as the Tigers prevented a three-game sweep.Called up hours earlier from Triple-A Toledo when Kerry Carpenter was placed on the 10-day injured list with a left shoulder sprain, Workman entered as a pinch hitter in the sixth inning.Workman, whose middle name is Tater, drove a 1-1 slider from Nick Mears (2-2) to right field to give Detroit a 5-3 lead.Wenceel Pérez added an RBI single in the seventh.Enmanuel De Jesus (2-0), the fourth of six Tigers pitchers, retired all seven batters he faced. Kenley Jansen struck out two in a perfect ninth for his 483rd career save and seventh this season.Kansas City lost for only the third time in 10 games.Hao-Yu Lee’s two-out RBI triple off the outstretched glove of Royals right fielder Jac Caglianone opened the scoring in the second. Zack Short walked and Vierling delivered a two-run double off the left-field wall to give the Tigers a 3-0 lead.In the third, Kansas City greeted reliever Drew Ande …