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

With questions like these you must use the information you get to form equations which model your problem.

I'll use these variable in my equation:

- B = big number

- s = small number

B - s = 70 <- big number is first since the difference is positive

B = 8s. <- One number is 8 times another number, well it wouldn't make sense if the smallest number is 8 times the biggest number. So we know it must be B that is 8 times "s".

I can substitute what I have in the second equation for B in the first.

8s - s = 70.

7s = 70

7s/7 = 70/7

s = 10.

So the small number is 10.

B = 10*8

B = 80.

And the big number is 80.

the anwer would be 560 cause it says 8 times anthor number so 70 times 8 would be the anwer so ya.