SOLUTION: Find three consecutive odd integers whose sum is equal to five more than two times the second largest among the three numbers.

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Question 958681: Find three consecutive odd integers whose sum is equal to five more
than two times the second largest among the three numbers.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
n, n+2, n+4=three consecutive odd integers
n+n+2+n+4=2(n+2)+5
3n+6=2n+4+5
3n+6=2n+9 Subtract (2n+6) from each side.
n=3 ANSWER 1: The smallest integer is 3.
n+2=3+2=5 ANSWER 2: The middle integer is 5.
n=4=3+4=7 ANSWER 3: The largest integer is 7
CHECK:
3+5+7=2(5)+5
15=10+5
15=15