SOLUTION: Please Help Me Solve This Equation. Find 3 Consecutive Integers With A Sum Of -75

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Question 919339: Please Help Me Solve This Equation.
Find 3 Consecutive Integers With A Sum Of -75

Found 4 solutions by ewatrrr, rothauserc, MathLover1, Alan3354:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
Find 3 Consecutive Integers With A Sum Of -75
x + (x+1) + (x+2) = -75
3x = -78
x = -26
the 3 Consecutive Integers are: -26, -25, -24
and...checking
-26 +
-25 +
-24
-75

Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let x be the first integer, then we have
x + x+1 + x+2 = -75
3x + 3 = -75
3x = -78
x = -26
our three consecutive integers are -26, -25, -24

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Consecutive integers are only away from each other. So, if you let the first integer be , the second is and the third is .
if their sum is , then we have:








so,
first integer is ,
second integer is => and
third integer is =>
check their sum:



Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
-75/3 = middle integer
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