let one of the the numbers be x.
Hence the other number is 8 times the other = 8*x = 8x
The difference between the numbers is 70
8x - x = 70
7x = 70
x = 70/7
x = 10
Since the numbers are x and 8x
x = 10
8*x = 8*10 = 80
So the numbers are 10 and 80.
I hope this helps.