Answer: The required number is 72.
Step-by-step explanation: Given that the difference between a number divided by 3 and 4 is 20.
We are to find the number.
Let the number be represented by x.
Then, according to the given information, we have
[tex]\dfrac{x}{3}-4=20\\\\\\\Rightarrow \dfrac{x}{3}=20+4\\\\\\\Rightarrow \dfrac{x}{3}=24\\\\\Rightarrow x=24\times3\\\\\Rightarrow x=72.[/tex]
Thus, the required number is 72.