If half of the smaller of two consecutive even integers is 2 more than the larger, what are the integers?

1 Answer
Oct 3, 2015

Answer:

The integers are #(-8)# and #(-6)#

Explanation:

Let the two consecutive even integers be
#color(white)("XXX")2n# and #2n+2#

We are told:
#color(white)("XXX")1/2*(2n)=(2n+2)+2#

Simplifying
#color(white)("XXX")n=2n+4#

#color(white)("XXX")-n=4#

#color(white)("XXX")n=-4#

The numbers are
#color(white)("XXX")2n = -8#
and
#color(white)("XXX")2n+2=-6#