ANSWER
[tex]\frac{19}{24}\text{ and }\frac{-11}{24}[/tex]EXPLANATION
To find the two numbers that are located 5/8 of a unit from 1/6 on the number line, we have to first understand that for a number on a number line, there are numbers both ahead and behind the number.
So, the numbers that are 5/8 from 1/6 on the number line will be:
=> one number that is +5/8 from 1/6
=> one number that is -5/8 from 1/6
Therefore, the two numbers are:
[tex]\begin{gathered} \frac{1}{6}\text{ + }\frac{5}{8}\text{ and }\frac{1}{6}\text{ - }\frac{5}{8} \\ \Rightarrow\text{ }\frac{19}{24}\text{ and }\frac{-11}{24} \end{gathered}[/tex]Those are the two numbers.