Find three consecutive even integers with a sum of .
Write an equation:
\Let is the least even integer, then the next two consecutive even integers are
and
.
Let is the least even integer,Then
is the next greater odd integer, and
is the greatest of the three integers.
Sum of the three consecutive odd integers equal
The equation is .
Find three consecutive even integers.
\ (Original equation)
(Simplify)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
Therefore, the consecutive even integers and
are
.
Three consecutive even integers are and
.