Question

If the sum of four consecutive integers is -106, what are the integers?

Answer 1

`-28, -27, -26, -25`

Explanation:

Let the smallest of the four consecutive numbers be `n`.

#{: (,n,),(+,n+1,),(+,n+2,),(+,n+3,),("-----","--------",),(=,4n+6,=-106) :}#

`rArr 4n = -112`

`rArr n=-28`

`rArr n+1=-27, color(white)("XX")n+2=-26,color(white)("XX") n+3=-25`