When Tate bought 2 more tickets, the total number of tickets he has increased to 32+2 = <<32+2=34>>34 tickets.

Peyton has half as many tickets, meaning he has 1/2*34 = 17 tickets.

Together, they have 34+17 = <<34+17=51>>51 tickets.

# Answer

51
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Tate has 32 tickets for a particular game. He then buys two more tickets for the game. His friend Peyton, who has half as many total tickets, drives with him to the game. How many tickets do Tate and Peyton have together?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
51
Tate has 32 tickets for a particular game. He then buys two more tickets for the game. His friend Peyton, who has half as many total tickets, drives with him to the game. How many tickets do Tate and Peyton have together?
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