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What numbers have the diffrence of 20 and pruduct of 125

Answer» ALIGN="absmiddle" alt="\LARGE{\color{white}\blue{\textsf{\textbf{ Anѕwєr }}}}" class="latex-formula" ID="TexFormula1" src="https://tex.z-dn.net/?f=%5CLARGE%7B%5Ccolor%7Bwhite%7D%5Cblue%7B%5Ctextsf%7B%5Ctextbf%7B%20An%D1%95w%D1%94r%20%7D%7D%7D%7D" title="\LARGE{\color{white}\blue{\textsf{\textbf{ Anѕwєr }}}}">

LET the 2 NUMBERS be x and y.

The difference between 2 numbers is 20.

\begin{gathered} \sf \: x - y = 20 \\ \\ \sf \dashrightarrow x = 20 + y\end{gathered}

The product of 2 numbers is 125.

\begin{gathered} \sf \: xy = 125 \\ \\ \sf \dashrightarrow \: (y + 20)y = 125 \\ \\ \sf \dashrightarrow {y}^{2} + 20y = 125 \\ \\ \sf \dashrightarrow \: {y}^{2} + 20y - 125 = 0 \\ \\\sf \dashrightarrow {y}^{2} + 25y - 5y - 125 = 0 \\ \\ \sf \dashrightarrow \: y(y + 25) - 5(y + 25) = 0 \\ \\\sf \dashrightarrow (y - 5)(y + 25) = 0 \\ \\\sf \therefore \red{y = 5 \: and \: - 25}\end{gathered}

The two numbers are 5 and -25.

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