Question

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

Answer 1

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

Answer 2

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.