Posted by **jessica** on Monday, March 17, 2014 at 9:38pm.

The sum of three consecutive integers is -204 . What is the largest integer?

- algebra 1 -
**Reiny**, Monday, March 17, 2014 at 10:01pm
1st number ---> x

2nd number -- > x+1

3rd number --> x+2

x+x+1+x+2 = -204

3x = -207

x = -69

largest is -67

or

let the 3 numbers be (x-1) , x , (x+1)

x-1 + x + x+1 = -204

3x = -204

x = -68

largest number is -68+1 = -67

notice that in my second solution, the equation was somewhat easier to solve, but x represented the middle number.

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