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a number is divided by 4, and the quotient is added to 3. the result is…

Question

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

Explanation:

Step1: Define the unknown number

Let the number be $x$.

Step2: Translate to equation

$\frac{x}{4} + 3 = 24$

Step3: Isolate the fraction

$\frac{x}{4} = 24 - 3$
$\frac{x}{4} = 21$

Step4: Solve for x

$x = 21 \times 4$
$x = 84$

Answer:

84