Question

What 2 numbers give you the product of 144 and a sum of 40?

Answer 1

Answer:

the 2 numbers are 36 and 4

Step-by-step explanation:

let the 2 numbers be x and y

as per the question

$= > x + y = 40 \\ \\ = > x = 40 - y \\ \\ and \\ \\ = > xy = 144 \\ \\ = > (40 - y)y = 144 \\ \\ = > 40y - {y}^{2} = 144 \\ \\ = > {y}^{2} - 40y + 144 = 0 \\ \\ = > (y - 36)(y + 4) = 0 \\ \\ y = 36 \: or \: - 4 \\ \\ therefore \\ \: y = 36 \: as \: both \: of \: the \: no.s \: cannot \\\: be \:a \: - ve\:number \\ \\ now \: \\ = > x = 40 - 36 \\ = > x = 4$