The average of Anne's, Sara's, and Julie's test score is 72. Julie scored 100 and Anne scored 10 points higher than Sara.what were annes and saras scores?

2 answers

Julie's score = 100
Sara's score = x
Anne's score = x + 10

Average = 72 = total of all scores / 3

72 = (100 + x + (x + 10)) / 3
72 = (100 + 2x + 10) / 3
216 = 110 + 2x
x = 53

Sara's score = x = 53
Anne's score = x + 10 = 63

Double check:
(100 + 53 + 63) / 3 = 72
Let x = Sara's score

72 * 3 = 216
216 - 100 = 116

x + x + 10 = 116
2x = 106
x = 53

Check: (53 + 63 + 100)/3 = 72