SOLUTION: three good friends are in the same Algebra class. Their scores on a recent test are three consecutive integers whose sum is 216. Find each score.
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Question 1021166: three good friends are in the same Algebra class. Their scores on a recent test are three consecutive integers whose sum is 216. Find each score. Found 2 solutions by Alan3354, macston:Answer by Alan3354(69443) (Show Source):
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F=first friends score; S=second friend's score=F+1; T=third friend's score=F+2
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F+S+T=216
F+(F+1)+(F+2)=216
3F+3=216
3F=213
F=71 . The first student's score was 71
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S=F+1=71+1=72 . The second student's score was 72.
T=F+2=71+2=73 . The third student's score was 73.
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ANSWER: Their scores were 71, 72, and 73.
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CHECK:
F+S+T=216
71+72+73=216
216=216
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