We'll write the first odd integer as
x.
The second consecutive odd integer is x +
2.
The third consecutive odd integer is x +
4.
The fourth consecutive odd integer is x +
6.
The sum of the integers is
64:
x + (x+2) + (x+4) + (x+6) =
64
Now, we'll remove the brackets and we'll combine like
terms:
4x + 12 = 64
We'll
subtract 12 both sides:
4x = 64 -
12
4x = 52
We'll divide by
4:
x = 13
The first odd
integer is x = 13.
The second consecutive odd integer is x
+ 2 = 13 + 2 = 15.
Th third consecutive odd integer is x +
4 = 13 + 4 = 17
The fourth consecutive odd integer is x + 6
= 13 + 6 = 19
The 4 consecutive odd integers
are {13 ; 15 ; 17 ; 19}.
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