98.1k views
3 votes
The sum of two positive integers is 19 and the product is 48

1 Answer

1 vote

Answer:

16 and 3

Explanation:

Let x and y represent the positive integers. We know that


x + y = 19


xy = 48

Isolate the top equation for the x variable.


x = 19 - y

Substitute into the second equation.


(19 - y)y = 48


19y - {y}^(2) = 48


- {y}^(2) + 19y = 48


- {y}^(2) + 19y - 48


(y - 16)(y - 3)

So our values are

16 and 3.

User Micer
by
3.5k points