SOLUTION: Four consecutive odd integers have a sum of 120. What are the integers?

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Question 158311: Four consecutive odd
integers have a sum of 120. What are the integers?

Answer by midwood_trail(310)   (Show Source): You can put this solution on YOUR website!
Four consecutive odd
integers have a sum of 120. What are the integers?
Here are your 4 consecutive odd integers:
x, x + 2, x + 4, x + 6
We add all 4 and equate to 120.
x + x + 2 + x + 4 + x + 6 = 120
4x + 12 = 120
4x = 120 - 12
4x = 108
x = 108/4
x = 27
Now that we know the value of x, we plug into the four consecutive odd integers shown above.
x = 27
x + 2 = 27 + 2 = 29
x + 4 = 27 + 4 = 31
x + 6 = 27 + 6 = 33
The four consecutive odd integers are:
27, 29, 31, 33
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