Two positive integers have a sum of 11. The greatest possible product of these two positive integers is
(A) 11
(B) 18
(C) 28
(D) 35
(E) 30

## Part B: Each correct answer is worth 6.
We make a chart of the pairs of positive integers which sum to 11 and their corresponding products:

| First integer | Second integer | Product |
| :---: | :---: | :---: |
| 1 | 10 | 10 |
| 2 | 9 | 18 |
| 3 | 8 | 24 |
| 4 | 7 | 28 |
| 5 | 6 | 30 |

so the greatest possible product is 30 .

Answer: (E)

Part B