SOLUTION: please help me solve the following: find three consecutive odd integers whose sum is equal to five more than two times the second largest number among the three integers.

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Question 572496: please help me solve the following:
find three consecutive odd integers whose sum is equal to five more than two times the second largest number among the three integers.
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Let
Smaller number = x+1
Larger number = x+3
Largest number = x+5

x+1+x+3+x+5=2(x+3)+5
3x+9=2x+6+5
3x-2x+9=11
x=11-9
x=2




Smaller number = x+1 = 2+1 = 3
Larger number = x+3 = 2+3 = 5
Largest number = x+5 = 2+5 = 7

Three consecutive odd integers 3, 5, 7