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vladimir2022 [97]
4 years ago
14

Three consecutive odd integers add to −9. What are these integers?

Mathematics
1 answer:
sergeinik [125]4 years ago
6 0
------------------------------------------------------
Define x :
------------------------------------------------------
Let one of the numbers be x.
1st number = x
2nd number = x + 2
3rd number = x + 4

------------------------------------------------------
Construct the equation :
------------------------------------------------------
The 3 numbers add up to -9.
x + x + 2 + x + 4 = -9

------------------------------------------------------
Solve x :
------------------------------------------------------
x + x + 2 + x + 4 = -9
3x + 6 = -9
3x = -9 -6
3x = -15
x = -5

------------------------------------------------------
Find the numbers :
------------------------------------------------------
1st number = x = -5
2nd number = x + 2 = -5 + 2 = -3
3rd number = x + 4 = -5 + 4 = -1

---------------------------------------------------------------------------------
Answer: The 3 numbers are -5, -3, -1
---------------------------------------------------------------------------------
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