For how many ordered pairs of positive integers $(x,y)$ is $x+2y =
100$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
For how many ordered pairs of positive integers $(x,y)$ is $x+2y =
100$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
49
For how many ordered pairs of positive integers $(x,y)$ is $x+2y =
100$?
train