what do you do when help is needed but not wanted

Most people if given the chance would help someone in need, but what happens if that person in need doesn't want help and refuses to let you help them what do you do then?
To me it seems that who ever needs help the most, almost never wants help. For example i was walking around my house about a month or two ago and I went up stairs to hear sobbing it turned out it was my little brother Ben he was crying about something that had happened at school or was it soccer well the point is that I went into his room in an attempt to console him with no success I kept trying and trying but i could never get him to tell me what was wrong and during this whole time he was still crying and what i did not understand was that he obviously needed someone to help him or at least someone to vent to and i was there for him (this was a rare occurrence because usually we don't really get along all that well). What i did not understand is why he did not want my help i was not doing anything wrong or was i? looking back on that fateful day i do recall giving him a hard time about something that had to do with the fact that he was wearing Kacie pants to some sort of event (I cant for the life of me remember what it was) well it turns out that someone there had also noticed and had ridiculed him and this really upset him so being only 10 years old he naturally blamed me and thought that it was all my fault. I still to this day don't understand what went on that day but now i have realized that maybe i had helped him after all because instead of talking to me he used me as a sort of scape goat which i think helped him but I'm not really sure. If you have any ideas or input on this topic please comment!