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

Question

asked Apr 7, 2022 98.1k views

1 Answer

Micer · Answer 1 · 2022-04-13T18:58:30+0000

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.