Question

When you multiply a number by 3 and divide by 4 the result is 24?

Answer 1

To find the number that when multiplied by 3 and divided by 4 results in 24, we set up an equation and solve for x, yielding the number 32.

Step-by-step explanation:

The question involves a basic algebraic operation where we are asked to find a number that, when multiplied by 3 and then divided by 4, gives us a result of 24. Let's denote the unknown number as x. So according to the given condition:

1. Multiply x by 3: 3x.
2. Divide the product by 4 to get 24: 3x/4 = 24.
3. To find x, we reverse the operations starting by multiplying both sides of the equation by 4: 3x = 96.
4. Now, divide both sides by 3 to solve for x: x = 32.

By applying algebra, we found that the original number is 32, which can be verified when plugged back into the equation 3x/4.