To find two numbers that multiply to 30 and add to 11, we can start by identifying pairs of factors of 30:
- \(1 \times 30\)
- \(2 \times 15\)
- \(3 \times 10\)
- \(5 \times 6\)
Next, we check which of these pairs adds up to 11:
- \(1 + 30 = 31\)
- \(2 + 15 = 17\)
- \(3 + 10 = 13\)
- \(5 + 6 = 11\)
The two numbers that multiply to 30 and add to 11 are 5 and 6.