Question

I thought of a number double, multiply by 4 and then divided by 4 less than the number to get a result of 24.find the number

Answer 1

Let x be the number;

Double it: 2x

Multiply by 4: 2x*4

Then divide by 4 less than the number:

$\frac{2x*4}{x-4}$

Get a result of 24:

$\frac{2x*4}{x-4}=24$

Solve x to find the number:

$\begin{gathered} \frac{8x}{x-4}=24 \\ \\ 8x=24(x-4) \\ 8x=24x-96 \\ 8x-24x=-96 \\ -16x=-96 \\ x=\frac{-96}{-16} \\ \\ x=6 \end{gathered}$

Then, if the number is 6; you double it: 12; then multiply by 4: 48; then divided into 4 less than the number (6-4=4) it is equal to 24

The number is 6