

Let
represent the least consecutive odd integer.
The next greater consecutive odd integer
.
The greatest of the three odd integers
.
The sum of three consecutive odd integers is 51.
\Write an equation for the current situation.
\
(Combine like terms)
According to subtraction property of equality: Subtract 6 from each side.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
According to division property of equality: Divide each side by 3.
\
(Cancel common terms)
(Divide:
)


The three consecutive odd integers are 15, 17 and 19.
\The three consecutive odd integers are 15, 17 and 19.