Question

two numbers have these properties both numbers are greater than 8 their highest common factor is 8 their lowest common multiple is 80 find the two numbers

Answer 1

Answer: 8 and 80

Step-by-step explanation:

8 * 5 = 40

8 * 10 = 80

8 must be the hcf of two separate numbers. So, one of them must be 8, and the other must be greater than 8.

Multiples of 8:

8

16

24

32

40

48

56

64

72

80

The numbers on that list that multiply evenly to 80:

8, 16, 40, 80

16 is the lowest common multiple of 16 and 8

40 is the lowest common multiple of 40 and 8

80 is the lowest common multiple of 80 and 8

So the two numbers are 8 and 80; the highest common factor (HCF) is indeed 8.