Question

The product of 3 integers is -6000. If two of them are -15 and 10 find the third integer

Answer 1

Answer:

ANSWER

Let the three consecutive integers be x,x+1 and x+2.

It is given that the sum of the integers is 24, therefore, we have:

x+(x+1)+(x+2)=24

⇒x+x+1+x+2=24

⇒3x+3=24

⇒3x=24−3

⇒3x=21

⇒x=

3

21

⇒x=7

Therefore, x=7 and the other two integers are:

x+1=7+1=8 and

x+2=7+2=9

Now, we find the product of the integers as shown below:

x(x+1)(x+2)=7×8×9=504

Hence, the product of the integers is 504.