a number is divided by 4, and the quotient is added to 3. the result is 24. what is the number?

Explanation:

Step1: Set up the equation

Let the number be $x$. The equation is $\frac{x}{4}+3 = 24$.

Step2: Isolate the fraction

Subtract 3 from both sides of the equation: $\frac{x}{4}=24 - 3$. So, $\frac{x}{4}=21$.

Step3: Solve for x

Multiply both sides by 4: $x=21\times4$. So, $x = 84$.

Answer:

84