Answer: the integers are 4,5and 6
Step-by-step explanation: lets say the integers are: x,x+1,x+2
consecutive integers are numbers that follow each other like:1,2,3 or 2,3,4 in that sequence.
since the sum of the integers has been given to be 15 we add our equation: x+x+1+x+2=15
- add the like termsx+x+x+1+2=15
- 3x+3=15
- 3x=15-3=12
- 3x=12
- divide on both sides by 3 to get
- x=4
- lets substitute our answer to our equation
- if x=4
- x+1=4+1=5
- x+2=4+2=6
- therefore the integers are:4,5 and6
