Well, honey, you're looking for a couple of numbers that can play both the addition and multiplication game. The dynamic duo you need is 3 and 5. They may not be the flashiest pair, but they get the job done - adding up to 7 and multiplying to 15.
The two numbers that add up to 7 and multiply to 15 are 3 and 5. This is because 3 + 5 = 8 and 3 * 5 = 15. These two numbers satisfy both conditions simultaneously, making them the correct solution to the problem.