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