Question

Two numbers have a product of 20. The second number is three less than twice the first number. What are the two numbers?

1
2
3
4
5
6
7
8
9
10

Answer 1

4 and 5

Explanation:

xy = 20

x = 2y - 3

(2y-3)y = 20

2y^2 - 3y = 20

2y^2 - 3y - 20 = 0

Solve the quadratic equation

you get y = 4, -5/2

Use 5 since it is one of the options

xy = 20, y = 4

x = 5