Question

One number exceeds another by 9. The sum of the numbers is 35. What are the numbers? The numbers are (Use a comma to separate answers.​

Answer 1

9514 1404 393

Answer:

13, 22

Explanation:

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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Additional comment

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.