Me and my brother play on the PC and Xbox 360 respectively, we play at the same time, perks and difficulty to kind of help each other with locations, secrets and such. We have noticed that the game is easier on the 360, or more difficult on the pc and by a large margin, his master is kind of my adept (medium) difficulty. For example we did the quest to heal the tree at Witherun at the same time, when we went to kill the Hagraven (birdwoman) we had the same perks, i was lvl 9 he was lvl 10 and we had the same bow and arrows but it took me like 3 more times to kill her, for every shot i did a lot less damage than him and it took 3 fireballs for her to kill me when he could take 6. Another clear example is the fist fight you do on Whiterun's inn with the woman soldier, again same level armor and perks but he won the fight with like 30 hp left and it took me 2 bars of hp using potions to win the fight. I just did a test with the bandits outside Whiterun in master difficulty, i kill them with 4 shots, he just needs 2 to take them, same level perks and bow, yes the damage done on the 360 is higher. So is this a bug or is intended? My brother doesn't like it, he enjoys a challenge as much as i do, but he will not get it on the 360 like this.
Maybe your brother has more luck, such as the critical strike perk with a bow. Sometimes a fight could be more or less difficult depending on many things, enemy stats ans stuff, what he uses to defend himself, spells he casts etc.
After i die, i am often surprised to crush my enemies with more ease than the first attempt.
Perhaps your bother's race is better at firing arrows than yours. Try to test with magic, as damages are not fluctuating so much.