SOLUTION: During a recent year, the average SAT scores in math for the states of Alabama, Florida and Georgia were 3 consecutive odd integers. If the sum of the first odd integer, the second

Question 943277: During a recent year, the average SAT scores in math for the states of Alabama, Florida and Georgia were 3 consecutive odd integers. If the sum of the first odd integer, the second odd integer and twice the third odd integer is 2134, find each score.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
First integer I, Second I+2, Third I+4
I+(I+2)+2(I+4)=2134
I+I+2+2I+8=2134
4I+10=2134 Subtract 10 from each side
4I=2124 Divide each side by 4
I=531 ANSWER first integer is 531
I+2=533 ANSWER second integer is 533
I+4=535 ANSWER third integer is 535
CHECK:
Sum of first two and twice the third=2134
531+533+2(535)=2134
1064+1070=2134
2134=2134
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