Question

Find the value of x:

$80:32::x:16$

Answer 1

Given

$80:32::x:16$

First and last term is called extreme terms, that is $80$ and $16$ and and $32$ is called middle terms.

product of extreme terms = product of middle terms

$$\begin{gathered} 80\times 16=32\times x \\ x=\frac{80\times 16}{32} \end{gathered}$$

$x=\frac{{\displaystyle \stackrel{40}{\cancel{80}}}\times {\displaystyle \stackrel{1}{\cancel{16}}}}{{\displaystyle \underset{\underset{1}{\cancel{2}}}{\cancel{32}}}}$

$$\begin{gathered} x=40\times 1 \\ \therefore x=40 \end{gathered}$$

Hence the value of $x$ is $40.$