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How do you find three consecutive integers whose sum is -93?

1 Answer

May 27, 2016

#{-32, -31, -30}#

Explanation:

Let #n# be the least of the three consecutive integers. Then the integers are #n, n+1#, and #n+2#, and we have that

#n+(n+1)+(n+2) = -93#

#=> 3n+3 = -93#

#=> 3n = -96#

#=> n = -32#

Substituting that into #{n, n+1, n+2}#, we get the solution set #{-32, -31, -30}#

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