Question

The sum of four and twelve times a number is 256, What is the number?

Answer 1

To solve for the unknown number, we set up the equation 4 + 12x = 256, subtracted 4 from both sides getting 12x = 252, and then divided both sides by 12 to find that x = 21.

Step-by-step explanation:

The student's question requires setting up and solving a simple algebraic equation to find an unknown number. To find the number, one can translate the words into a mathematical statement: the sum of four and twelve times a number is 256. This statement can be written as:

4 + 12x = 256.

Now, we will solve for the number x step by step:

1. Subtract 4 from both sides of the equation to isolate the term with the variable x on one side:
   12x = 256 - 4
   12x = 252.
2. Divide both sides of the equation by 12 to solve for x:
   x = 252 / 12
   x = 21.

Therefore, the number in question is 21.