Two times the least of three consecutive odd integers exceeds three times the greatest by
.
Find the integers.
\Let
be the least odd integer then
be the next greater odd integer and
the greatest of the three integers.
Solve the equation.
\
(Original equation)
(Distributive property:
)
(Simplify)
(Subtract
from each side)
(Apply additive inverse property :
)
(Multiply each side by negative one)
Since, the first integer
is
.
Second integer
is
.
Third integer
is
.
Therefore, the consecutive odd integers are
,
and
.
The consecutive odd integers are
,
and
.