Sarah's bowling score was 40 points more than Greg's, and the average of their two scores was 102. What was Sarah's score? (Recall that the average of two numbers is their sum divided by 2.)
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Call Sarah's score, S
The Greg's score = S - 40
So....we have that [ Sarah's score + Gref's score ] / 2 = 102
[ S + S - 40 ] /2 = 102 multiply both sides by 2
2S - 40 = 204 add 40 ro both sides
2S = 244 divide both sides by 2
S = 122 = Sarah's score