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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?

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asked by riley
  1. 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

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  2. 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

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