SOLUTION: find three consecutive integers whose sum is -15? find three consecutive integers whose sum is 30?

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: find three consecutive integers whose sum is -15? find three consecutive integers whose sum is 30?      Log On


   

Question 281642: find three consecutive integers whose sum is -15?



find three consecutive integers whose sum is 30?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
lET X, X+1 & X+2 BE THE 3 INTEGERS.
X+X+1+X+2=-15
3X+3=-15
3X=-15-3
3X=-12
X=-12/3
X=-4 ANS. FOR THE LOWEST INTEGER.
-4+1=-3 FOR THE MIDDLE INTERGER.
-4+2=-2 FOR THE LARGEST INTEGER.
pROOF:
-4-5-6=-15
-15=-15
-----------------------------
lET X, X+1 & X+2 BE THE 3 INTEGERS.
X+X+1+X+2=30
3X+3=30
3X=30-3
3X=27
X=27/3
X=9 ANS. FOR THE LOWEST INTEGER.
9+1=10 ANS. FOR THE MIDDLE INTEGER.
9=2=11 ANS. FOR THE LARGEST INTEGER.
PROOF
9+10+11=30
30=30