The sum of two consecutive even integers is -102. What are the two integers?

1 Answer
Nov 8, 2016

#-50# and #-52#

Explanation:

An even number can be generally expressed by #2n#. So the sum of an even and its consecutive it's expressed by #2n+2n+2# this must be equal to -102. So we have to solve the nearly trivial equation
#4n+2=-102# that solved gives #n=-26#. This means that the two numbers are
#2*(-26)=-52# and
#2*(-26)+2=-50#