Question

-1 times the sum of a number and four is eight

Answer 1

The product of a number and 24 increased by 12 is 36

Answer 2

To solve the equation represented by the statement "minus one times the sum of a number and four is eight," let's define the unknown number as \( x \).

We can translate the statement into a mathematical equation:

\[
-1 \times (x + 4) = 8
\]

This simplifies to:

\[
-(x + 4) = 8
\]

Next, we can get rid of the negative sign by multiplying both sides by -1:

\[
x + 4 = -8
\]

Now, we will isolate \( x \) by subtracting 4 from both sides:

\[
x = -8 - 4
\]

\[
x = -12
\]

Thus, the solution to the problem is:

\[
\boxed{-12}
\]

Answer 3

Let's define the unknown number as \( x \).

The statement "The product of a number and 24 increased by 12 is 36" can be translated into the following mathematical equation:

\[
24x + 12 = 36
\]

Now, we'll solve for \( x \) by first isolating the term with \( x \). We do this by subtracting 12 from both sides:

\[
24x = 36 - 12
\]

This simplifies to:

\[
24x = 24
\]

Next, we divide both sides by 24:

\[
x = \frac{24}{24}
\]

This results in:

\[
x = 1
\]

Thus, the solution to the problem is:

\[
\boxed{1}
\]