The sum of three consecutive integers is -54.Determine the smallest integer.

Question

The sum of three consecutive integers is -54.Determine the smallest integer.

Answer 1

x = the smallest #

x+1 = the next number (middle number)

x+2 = the biggest # of the three

 

set up the equation

x + x+1 + x+2 = -54 

combine like terms

3x+3 = -54

    -3      -3

 

3x     = -57 

3            3

 

x = -19

 

-19 is your smallest #

Answer 2

Cal numbers x , y,   z  

 

y = x + 1   

z = x + 2  

 

x + y + z =  54  

x + (x+1) + (x+2)  =  54 

3x +3 = 54  

 

x = 17  

y =18

z  19  

Answer 3

Hi Luis,

Step One: Create Let Statements

Let x=first integer 

Let x+1=second integer 

Let x+2=third integer 

Step Two: Create an equation

x+x+1+x+2=-54 Combine like terms

3x+3=-54 Subtract 3 from both sides

3x=-54-3 Subtract

3x=-57 Divide both sides by 3

x=-19

∴The smallest integer is -19.

Sincerely, 

Starlyte H.