To solve the problem, we need to find a number that, when multiplied by 3 and then divided by 4, results in 24. Let’s denote the unknown number as x. We can set up the equation as follows:
3x / 4 = 24
To isolate x, we will first eliminate the denominator by multiplying both sides of the equation by 4:
3x = 24 * 4
Now, calculate the right side:
3x = 96
Next, we divide both sides of the equation by 3 to solve for x:
x = 96 / 3
Calculating this gives:
x = 32
Therefore, the number is 32. To verify, we can substitute x back into the original equation:
- Multiply 32 by 3: 32 * 3 = 96
- Now divide 96 by 4: 96 / 4 = 24
Since the final result matches the original condition, we can confidently say that the answer is correct. The number is indeed 32.