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

Algebra.Com
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)   (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)   (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

RELATED QUESTIONS

If the product of 3 consecutive integers is 120,then the sum of the integers... (answered by dkppathak,Edwin McCravy)
the product of three consecutive integers is 120. what is their... (answered by richard1234,rashedbiman)
The sum of three consecutive integers is 24. What is the product of these three... (answered by stanbon)
Given that the sum of three consecutive even integers is 120. What are these... (answered by Alan3354)
The product of three consecutive integers is 185136. What is the sum of these... (answered by MathLover1,ikleyn)
the product of 3 consecutive integers is... (answered by Cromlix)
what is the sum of three consecutive integers if it is 48. determine the 3... (answered by stanbon)
what is the least of three consecutive integers whose product is... (answered by Fombitz)
If the product of 3 consecutive integers is 120,then the sum of the integers is? a)9... (answered by sudhanshu_kmr)