Question

If the product of 3 consecutive integers is 120, then the sum of the integers is
A) 9
B) 12
C) 14
D) 15
​

Answer 1

Answer:

answer is 15

let the three consecutive integers be: (x-1),(x),(x+1)

given: product of three consecutive integers is 120.

(x-1)(x)(x+1)=120

(x) (x^2-1)=120

(x^3-x)=120

x^3-x-120=0

x=5(by solving the equation)

so, three consecutive integers are= (x-1)=5-1=4

(x)=5

(x+1)=5+1=6

sum of these three consecutive integers=4+5+6= 15

Answer 2

Step-by-step explanation:

120:2*2*2*3*5

(2*2)*5*(2*3)

4*5*6

Then the sun of the integers

4+5+6=15

I hope you will be satisfied