The sum of three consecutive integers is -75. What are the integers?

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Answer 1 · 2018-03-13T10:13:29

The numbers are #-26, -25# and #-24#.

Let the numbers #a, a+1 and a + 2#

#a + (a + 1) + (a + 2) = -75#

#3a + 3 = -75#

#3a = -78#

#a = -78/3#

#a = -26 => #

#a + 1 = -26 + 1 = -25#

#a + 2 = -26 + 2 = -24#

The numbers are -26, -25 and -24.