To find two numbers that multiply to 60 and add up to 17, we can start by listing the factor pairs of 60:
- 1 and 60
- 2 and 30
- 3 and 20
- 4 and 15
- 5 and 12
- 6 and 10
Next, we look at each factor pair to see which pair adds up to 17:
- 1 + 60 = 61
- 2 + 30 = 32
- 3 + 20 = 23
- 4 + 15 = 19
- 5 + 12 = 17
We find that the pair 5 and 12 both multiplies to 60 and adds up to 17. Therefore, the two numbers you are looking for are:
- 5
- 12