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.