Question 825979
Actually it's simple. :)

Let x- be the first number
    x+1 -be the second number NOTE : since it is consecutive
    x+2 - be the third number it is 2 because it is x+1+1

GETS?

x+x+1+x+2=24
3x=21
x=7

The middle term therefore is 8 because 7+1

The three consecutive numbers are  7,8,9 add them up they sum to 24. :) 

HOPE that helps!