Question

the sum of four consecutive integers is -72. write an equation to model this situation and find the values of the four integers
let the integers be
n, n+1, n+2, and n+3

n+n+1+n+2+n+3 = -72
4n = -78
n = - 19.5 , but n has to be an integer

Four consecutive integers CANNOT add up to -72

check:
-16-17-18-19 = -70
-17-18-19-20 = -74
-18-19-20-21 = -78

no way to get -72

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