Question 1165032
I will use my approach since I don't know Polya
passing is average of 92
mean=total/n
92=total/3
276=total

scores are 78 and 84, which add to 162
276-162=114, which is required.

Check
her first test was 14 below the average needed
her second test was 8 below the average needed
she is 22 points below the average needed
on the third test, she has to get 22 points above the average needed, or 92+22 = 114.