the sum of 4 consecutive integers is -26. what are the intgers

Question

please help me in solving this question for my math, thank you :)

Answer 1

  Keep it simple. First, name your four consecutive integers as: (x+1), (x+2), (x+3), and (x+4), whose sum is -26, so now you just write this in linear equation form:

 

     (x+1) + (x+2) + (x+3) + (x+4) = -26

 

  Eliminating the parentheses, you are left with:

 

     x+1 + x+2 + x+3 + x+4 = -26

 

  Now, just solve for x:

 

     4x + 10 = -26

  

     4x = -36

 

     x = -9

 

  And Lastly, plug your x value into your equation to find your four consecutive integers:

 

     (-9+1) + (-9+2) + (-9+3) + (-9+4) = -26

 

      ( -8 )  +  ( -7 )  +  ( -6 )  +  ( -5 )  = -26

 

  So your consecutive integers are:  -8, -7, -6, and -5

 

  Hope this is clear enough.

 

  Best,

 

  Joseph.