Let's call the tens digit "x" and the ones digit "y".
From the first clue, we know that:
x + y = 14
From the second clue, we know that:
x - y = 4
We can use these two equations to solve for x and y.
If we add the two equations together, the y terms will cancel out:
2x = 18
x = 9
Now we can substitute 9 for x in either equation to solve for y:
9 + y = 14
y = 5
So the number we are looking for is 59.