Question

the product of two numbers is 36 their sum is 20 what are the numbers​

Answer 1

Explanation:

factors of 36 are 2,3,4,6,9,12,18

so the sum of two number is 20 is answer

two numbers are 2 and 18

Answer 2

$\huge{\underline{\bf{\red{\: \: \: Answer \: \: \:}}}}$

$\begin{gathered}\to \bold{First \: number = 18 \: or \: 2} \\ \bold{ \to Second \: number = 2 \: or \: 18} \end{gathered}$

$\large \bold{ \underline{ \: \: Explanation \: \: }}$

$\bold{ \large{Let \: , \: \: }}$

$\to$ First number be = x

$\to$Second number = 20 - x ( sum is 20 )

$\bold{ \underline{According \: to \: the \: question \: , \: \: }}$

$\begin{gathered} \to\bold{x(20-x) = 36 }\\ \\ \to \bold{ 20 {x}^{2} - {x}^{2} = 36} \\ \\ \to \bold{{x}^{2} -20x+36 = 0} \\ \\ \to \bold{x - 18x - 2x +36 =0} \\ \\ \to \bold{ x(x-18) -2(x-18) = 0}\\ \\ \to \bold{(x-18)(x-2) = 0} \\ \\ \to\bold{x = 18 \: \: or \: \: 2 }\end{gathered}$

$\begin{gathered} \therefore \: \to \bold{First \: number = 18 \: or \: 2} \\ \bold{\: \: \: \: \to Second \: number = 2 \: or \: 18}\end{gathered}$