Let s represent the smaller. The sum of the numbers is ...
s + (s+9) = 35
2s = 26 . . . . . . subtract 9
s = 13
s+9 = 22
The two numbers are 13 and 22.
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<em>Additional comment</em>
As you can see, the smaller number is half the difference of the sum and difference: s = (35-9)/2. This is the generic solution to a "sum and difference" problem.
