Answer: 18, 19, 20
Explanation:
3 consecutive integers = x, y and z
1st number is X
2nd number is Y which is X +1
3rd number is Z which is X +2
Write equation
X + 2Y = 16 + 2Z
Replace Y with X + 1 and Z with X + 2
So,
X + 2(X + 1) = 16 + 2(X + 2)
Distribute
X + 2X + 2 = 16 + 2X + 4
Combine like terms
3X + 2 = 2X + 20
Solve for X
3X + 2 - 2 - 2X = 20 + 2X - 2X - 2
X = 18 so, Y is 19 and Z is 20