The even integer can be represented by the expression
.
Three consecutive even integers are
.
The word
sum
indicates addition operation and its symbol
.
The word
three consecutive even integers
that have a sum of 54
indicates the equation
.
The equation
.
Group like terms.
\
Combine like terms.
\
Apply subtraction property of equality: If
then
.
Subtract 6 from each side.
\

.
\
Apply division property of equality: If
then
.
Divide each side by 6.
\
Cancel common terms.
\
.
The even integers are
\
,
and \ \
.
Three consecutive even integers are 16, 18 and 20.