The product of two numbers is 50. If you divide the larger number by the smaller number you get 2. What are the numbers?

Answer 1

x = larger number
y = smaller number

xy = 50
x/y = 2 or x = 2y

Substitute, x = 2y in xy = 50
2y * y = 50
2y^2 = 50
y^2 = 25
y = +- 5

To find x,
Substitute y = +- 5 in either equation
xy = 50
5x = 50
x = 10

-5x = 50
x = -10

Numbers are 10, 5 or -10, -5

Answer 2

The factors of 50 are:

10 and 5
25 and 2

Which of these pairs meets the other criterion?