Question 103954
Consecutive even integers follow the form: {{{2x}}}, {{{2x+2}}}, {{{2x+4}}}, ...., etc.


So the sum of sum of three consecutive even integers is


{{{(2x)+(2x+2)+(2x+4)=-240}}}




{{{6x+6=-240}}} Combine like terms on the left side



{{{6x=-240-6}}}Subtract 6 from both sides



{{{6x=-246}}} Combine like terms on the right side



{{{x=(-246)/(6)}}} Divide both sides by 6 to isolate x




{{{x=-41}}} Divide


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Answer:

So our answer is {{{x=-41}}} 



So now plug in {{{x=-41}}} into {{{2x}}}, {{{2x+2}}} and {{{2x+4}}} to find the numbers


1st number: {{{2(-41)=-82}}}.... So our first number is -82


2nd number: {{{2(-41)+2=-80}}}.... So our second number is -80


3rd number: {{{2(-41)+4=-78}}}.... So our third number is -78



So our three numbers are: -82,-80, and -78


Check:

-82-80-78=-240

-240=-240 works