SOLUTION: if the product of 3 consecutive integers is 120. what is the sum of three integers?

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Question 465308: if the product of 3 consecutive integers is 120. what is the sum of three integers?
Found 2 solutions by ewatrrr, DJ02124:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x,(x+1) and (x+2) represent the 3 consecutive integers 

Question states***

x(x+1)(x+2)= 120

x{x^2+3x+2) = 120

 x^3 + 3x^2 +2x - 120 = 0  |x = 4 a solution  64+48 + 8 -120 = 0

Integers are 4,5,6

CHECKING our Answer***

 4*5*6 = 120

Answer by DJ02124(1) About Me  (Show Source):
You can put this solution on YOUR website!
x
x+1
X+2
----------
x+x+1+x+2=120
3x+3=120
3x=117
x=39
------------
x=39
x+1=40
x+2=41
-------------
Check
39+40+41=120