Question 120045: The sum of three consecutive odd integers is no less than 57. Find the possible second odd integers.
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website! The sum of three consecutive odd integers is no less than 57.\ Fin0d the possible second odd integers.
FIRST odd integer = x
SECOND odd integer = x+2
THIRD odd integer = x+4
The sum of three consecutive odd integers is no less than 57.
"No less than 57" means "Greater than or equal to 57".
So we add the three by putting plusses between them
and then put a "less than or equal to" between that and 57:P
x + x+2 + x+4 > 57
Solving:
3x + 6 > 57
3x > 57 - 6
3x > 51
x > 17
So the possibilities for the FIRST odd integer, x, are odd integers
17 or greater,
therefore the answer to your question is
The possibilities for the SECOND odd integer, x+2, are odd integers
19 or greater.
Edwin
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