Saturday, June 18, 2011

Four consecutive odd integers have the sum of 64. Which are the integers .

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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