SOLUTION: The sum of three consecutive odd integers is -207. List the numbers from smallest to largest

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Question 1153510: The sum of three consecutive odd integers is -207. List the numbers from smallest to largest
Found 3 solutions by MathLover1, josgarithmetic, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
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Three odd consecutive numbers can be written as x, x%2B2, and x%2B4.
if the sum of three consecutive odd integers is -207, we have
x%2Bx%2B2%2Bx%2B4=-207
3x=-207-2-4
3x=-213
x=-213%2F3
x=-71
so, three consecutive odd integers are
x=-71,
x%2B2=-69, and
x%2B4=-67
the numbers from smallest to largest: +-71,+-69,+-67

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Odd consecutive integers
x-2, x, x+2

%28x-2%29%2Bx%2B%28x%2B2%29=-207
-
x-2%2Bx%2Bx%2B2=-207
3x%2B0=-207
x=207%2F3
highlight%28x=69%29--------the middle odd integer

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

The sum of three consecutive odd integers is -207. List the numbers from smallest to largest


Now, from this middle value/mean, SUBTRACT 2 to get the first or the SMALLEST. ADD 2 to get the LARGEST/THIRD.