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.

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): You can put this solution on YOUR website!
216/3 is the middle score.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
F=first friends score; S=second friend's score=F+1; T=third friend's score=F+2
.
F+S+T=216
F+(F+1)+(F+2)=216
3F+3=216
3F=213
F=71 . The first student's score was 71
.
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.
.
ANSWER: Their scores were 71, 72, and 73.
.
CHECK:
F+S+T=216
71+72+73=216
216=216
.

RELATED QUESTIONS
three good friends are in the same algebra class their scores on a recent test are three... (answered by Alan3354,josh_jordan)
three good friends are in the same algebra class. their scores on a recent test are three (answered by Alan3354)
Three good friends are in the same Algebra class. Their scores on a recent test are three (answered by Fombitz)
three good friends are in the same algebra class. their scores on a recent test are three (answered by josmiceli,greenestamps)
Three good friends are in the same Algebra class. Their scores on a recent test are three (answered by ikleyn)
Three good friends are in the same Algebra class. Their scores on a recent test are three (answered by ankor@dixie-net.com,MathTherapy)
Three good friends are in the same Algebra class. There scores on a recent test were 3... (answered by JimboP1977)
Three good friends are in the same Algebra class. Their scores are three consecutive... (answered by ewatrrr)
The numbers on three raffle tickets are consecutive integers whose sum is 7530. Find the... (answered by hkwu)