One positive number is 3 more than twice another. If their product is 629, find the numbers.

17,37

Step-by-step explanation:

one number = x

The positive number = 2x + 3

x * (2x+3) = 629

x*2x + x * 3 = 629

2x² + 3x - 629 = 0

2x² - 34x + 37x - 17*37 = 0

2x * (x - 17) + 37 (x - 17) = 0

(x - 17) (2x + 37) = 0

x - 17 = 0; Ignore 2x + 37 as s is a positive number

x = 17

Positive number = 2*17 + 3 = 34+3 = 37