If one number exceeds twice another by three the difference of the two numbers is eight what are the two numbers?

* A - 2B= 3 * A - B = 8 (We don't know which of the numbers is the largest, so we'll try A first) If we subtract the lower equation from the upper, we get * 0A -1B = -5 ----- Therefore B = 5 * So A = 2(5) +3 = 13 So, 13 and 5 satisfies the first requirement, 13 is three more than twice 5, and the difference between 13 and 5 is 8, so that satisfies the second requirement.