Benson and Ryan had an average of 1134 stamps in their albums. Benson transferred 273 stamps from his album to Ryan's album. As a result, both of them had the same number of stamps. How many stamps did Ryan have at first?
1. The average number of stamps Benson and Ryan had in their albums was 1134. So, the sum of their stamps was 2 * 1134 = 2268.
2. After Benson transferred 273 stamps to Ryan, they had the same number of stamps. So, Benson had (R - 273) stamps in his album, and Ryan had (R + 273) stamps in his album.
Now, let's set up an equation based on the information above:
1. The average number of stamps Benson and Ryan had in their albums was 1134. So, the sum of their stamps was 2 * 1134 = 2268.
2. After Benson transferred 273 stamps to Ryan, they had the same number of stamps. So, Benson had (R - 273) stamps in his album, and Ryan had (R + 273) stamps in his album.
Now, let's set up an equation based on the information above:
(R - 273) + (R + 273) = 2268
Now, let's solve for R:
2R = 2268
R = 2268 / 2
R = 1134
So, Ryan initially had 1134 stamps in his album.