Answer:
The pairs are [tex](2,5)[/tex], [tex](4,10)[/tex] and [tex](6,15)[/tex]
Step-by-step explanation:
We can see the given pairs have the same ratio.
Let us find the ratio of pair [tex](8,20)[/tex]
So, the common ratio is [tex]\frac{8}{20}=\frac{2}{5}[/tex]
Now, we will check each pair, Let the missing number be [tex]x[/tex]
Case-I
[tex](x,5)\\\frac{x}{5}=\frac{2}{5}\\ x=2[/tex] So,the pair is [tex](2,5)[/tex]
Case-II
[tex](4,x)[/tex]
[tex]\frac{4}{x}=\frac{2}{5}\\\\\frac{4}{x}=\frac{2\times 2}{5\times 2}=\frac{4}{10}\\ x=10[/tex]So, the pair is [tex](4,10)[/tex]
Case-III
[tex](6,x)[/tex]
[tex]\frac{6}{x}=\frac{2}{5}\\\\\frac{6}{x}=\frac{2\times 3}{5\times 3}=\frac{6}{15}\\x=15[/tex]So, the pair is [tex](6,15)[/tex]
Now, the required pairs are [tex](2,5)[/tex], [tex](4,10)[/tex] and [tex](6,15)[/tex]
