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?

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

To find Anne's and Sara's scores, we can use the given information that Julie scored 100 and the average of all three scores is 72.

Let's assume that Sara's score is S. Since Anne scored 10 points higher than Sara, Anne's score would be S + 10.

We can use the formula for the average of three numbers to find the sum of all three scores:

[(S + (S + 10) + 100)] / 3 = 72

Now, we can solve this equation to find the values of S and (S + 10):

S + (S + 10) + 100 = 216
2S + 110 = 216
2S = 106
S = 53

Therefore, Sara's score is 53, and since Anne scored 10 points higher, Anne's score would be 53 + 10 = 63.

So, Sara's score is 53, and Anne's score is 63.