Question

There are 3 consecutive integers that sum to 15

Answer 1

consecutive integers are 1 apart
they are
x,x+1,x+2
add to 15
x+x+1+x+2=15
3x+3=15
minus 3 both sides
3x=12
divide both sides by 3
x=4
x+1=5
x+2=6

they are 4,5,6

Answer 2

Our three consecutive integers can be represented as

X → first integer

X + 1 → second integer

X + 2 → third integer

If the sum of our three consecutive integers is 15, our equation will read...

X + X + 1 + X + 2 = 15

Now, we can simplify on the left. Once we simplify, our equation will now read

3x + 3 = 15

-3 -3 ← subtract 3 from both sides

3x = 12 ← divide both sides by 3

X = 4

X → first integer 4

X + 1 → second integer 5

X + 2 → third integer 6

Therefore, the 3 consecutive integers are 4, 5, and 6.