We know that one integer is four more than another integer. This gives us the equation: x + 4 = y
Next, we know both integers give us 26. x + y = 26
Firstly, we can solve for x in x + y = 26. This gives us x = -y + 26. Next, we plug that into our other equation. -y + 26 + 4 = y. This gives us -y + 30 = y. Then, 30 = 2y or 2y = 30. Finally, we have y = 15. One of our integers is 15.
Next, we plug 15 into our equation. I will plug it into x + y = 26. x + 15 = 26. This gives us x = 11.
14 is 4 more than 11. They both add to 26.