Question

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

Answer 1

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.