One number is 8 times another number. the numbers are both positive and have a difference of 70. find the numbers.

Let one no. be x , Then according to question other number will be 8x
Now 8x - x = 70 
        7x = 70 
         x=10 
hence one no is 10 and other 80

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.