Large Transport
Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (yrs) 10
Confusion
ATC Issue All Types; Conflict Airborne Conflict; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Took Evasive Action
Aircraft; Human Factors; Procedure
I took radar on Aircraft X at FL330 northbound requesting FL350.  Had Aircraft Y at FL350 south-eastbound. I thought I climbed Aircraft X to FL340.  Later on the two aircraft said they were getting an RA (resolution advisory) and one climbed and the other descended.  No loss of separation. I was thinking of FL350.  The Aircraft X wanted FL350 for a final; and I had Aircraft Y at FL350. I must have said FL350 even though my entry was FL340 for Aircraft X.
We received a climb from FL350 to FL360. While processing the climb; and after initial rotation up; we got a TCAS RA to climb. We climbed to FL360 as instructed by ATC. We then notified ATC of maneuver.
Pilots and Controller report of two aircraft getting a RA and responding to the RA with no loss of separation. Controller possibly climbed one aircraft to the other's altitude.