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

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

Let the first number be x, the second number be y. We're given:

1. x = 8y
2. x - y = 70

Substitute(1) into (2)
8y - y = 70

Plugging this equation into our search engine, we get:
y = 10 <-- This is the smaller number

Plug this into Equation (1), we get:
x = 8(10)
x = 80 <-- This is the larger number