Answer: The correct option is (B) n = 20.
Step-by-step explanation: Given that when a number is added to 1/5 of itself, the result is 24. The equation that models this problem is given by
[tex]n+\dfrac{1}{5}n=24~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the value of n.
Solving equation (i), we have
[tex]n+\dfrac{1}{5}n=24\\\\\\\Rightarrow \dfrac{5n+n}{5}=24\\\\\Rightarrow 6n=5\times24\\\\\Rightarrow n=\dfrac{5\times24}{6}\\\\\Rightarrow n=20.[/tex]
Thus, the required value of n is 20.
Option (B) is CORRECT.
