Jane took several exams in math during the academic year with grades such as a,b,c,d,e,f and once she did quite badly. When repeating the poor exam, the teacher offered that instead of the two grades, say f and A, she can have the average of the two grades. Will it be disadvantagenous for Jane if (a+b+c+d+e+f)/6 > (f+A)/2? NOTE: I found this problem in a puzzle periodical. The one line answer given in the said periodical just mentions that it would be indeed disadvantageous for Jane. I do not know the precise methodology that would lead to the said solution, and I am looking forward to any comment from members on the foregoing matter.