If you multiply a number by 3 and divide by 4, the result is 24. What is the number?
Let's call the unknown number "x".
According to the given information, if we multiply this number by 3, we get 3x. And if we divide this result by 4, we get (3x)/4.
The problem states that this result is equal to 24. So, we can set up the equation:
(3x)/4 = 24
To solve for x, we can multiply both sides of the equation by 4 to get rid of the denominator:
4 * (3x)/4 = 4 * 24
3x = 96
Next, we can divide both sides of the equation by 3 to solve for x:
(3x)/3 = 96/3
x = 32
Therefore, the number we are looking for is 32.
To find the number, we need to undo the operations that were done.
Step 1:
Let's assume the number is represented by 'x'.
Multiplying the number by 3: 3x
Step 2:
Dividing the result by 4: (3x) / 4
According to the problem, this result is 24. So, we can set up the equation:
(3x) / 4 = 24
Step 3:
To isolate 'x', we can multiply both sides of the equation by 4:
4 * (3x) / 4 = 24 * 4
This simplifies to:
3x = 96
Step 4:
To solve for 'x', we divide both sides of the equation by 3:
(3x) / 3 = 96 / 3
This simplifies to:
x = 32
So, the number is 32.