The difference between the two numbers is 17, so we can set the two numbers as x and x+17. We also know that the sum of the two numbers are 69, so we can set up the equation x+(x+17)=69.
x+(x+17)=69
2x+17=69
2x=52
x=26.
If x=26, then the other number would be x+17, which is 43, so the two numbers are 26 and 43.