Question

Find three consecutive even integers whose sum is -300

Answer 1

Let n represent the unknown numbers.

*we add 2 and 4 to the numbers so that we are sure that they will be even*


n + (n+2) + (n+4) = - 300 *simplify*

n + n + 2 + n + 4 = - 300

3n+6=-300
-6 -6
--------------- *Get constants and variables to either side*
3n = - 306
--- ------ *Isolate the variables*
3 3

n= - 102

Then plug this in for the above values


n+2= - 102+2= -100
n+4= - 102+4 = -98