Question

The sum of two positive integers is 19 and the product is 48

Answer 1

Answer:

16 and 3

Step-by-step 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.