Tigers second baseman Ian Kinsler scoops the ball to first base for an out against the Kansas City Royals’ Jorge Bonifacio in the eighth inning in Detroit on Monday. (AP photo)

DETROIT — The Kansas City Royals are playing with confidence right now in the late innings.

Salvador Perez and Mike Moustakas hit consecutive homers in the 12th, and the Royals won their sixth straight game, 5-3 over the Detroit Tigers on Monday night. Six of Kansas City’s last eight victories have come in the team’s final at-bat, and on this night, the bullpen held off Detroit long enough for the Royals to break through.

Hours after the Royals helped their pitching staff by acquiring Trevor Cahill and two relievers in a trade with San Diego, Kansas City outlasted the Tigers to stay 1 1/2 games behind first-place Cleveland in the AL Central.

Jakob Junis (3-2), one of seven relievers used by Kansas City, pitched a hitless 11th for the win. Kelvin Herrera finished for his 20th save in 23 chances.

Drew VerHagen (0-1) took the loss, allowing the homers to Perez and Moustakas in his third inning of work.

“VerHagen could have thrown 100 pitches if we needed him, and we were so short in the bullpen that we didn’t have many other options,” Detroit manager Brad Ausmus said. “I thought he did a very good job, except for hanging two breaking balls.”

Amid ongoing speculation he could be traded soon, Justin Verlander allowed three runs and five hits in seven innings for Detroit. He struck out nine and walked two.

Detroit scored three runs in the sixth inning to tie the score. Miguel Cabrera hit an RBI single, and Alex Avila lined a two-out, two-run single to left-center off reliever Scott Alexander. It was Avila’s third hit all season off a left-hander.