Question

3 times the difference if a number and zip equals the sum of 25 and that same. Number

Answer 1

3 times the difference of a number and 10 equals the sum of 25 and that same number

Answer 2

Let's denote the unknown number as \( x \) and the zip as \( z \). According to your statement, we can translate it into the following mathematical equation:

\[
3(x - z) = 25 + x
\]

Now, let's solve this equation step by step.

1. Distribute the 3 on the left side:

\[
3x - 3z = 25 + x
\]

2. Next, isolate \( x \) on one side. First, subtract \( x \) from both sides:

\[
3x - x - 3z = 25
\]

This simplifies to:

\[
2x - 3z = 25
\]

3. Now, we can rearrange the equation to express \( z \):

\[
3z = 2x - 25
\]

4. Then, divide everything by 3 to solve for \( z \):

\[
z = \frac{2x - 25}{3}
\]

This equation shows the relationship between the number \( x \) and the zip \( z \). If you have a specific value for \( x \), you can substitute it into this equation to find \( z \).

Answer 3

Let's denote the unknown number as \( x \). According to your statement, we can set up the following equation:

\[
3(x - 10) = 25 + x
\]

Now, let's solve this equation step by step.

1. Distribute the 3 on the left side:

\[
3x - 30 = 25 + x
\]

2. Next, isolate \( x \) on one side. Start by subtracting \( x \) from both sides:

\[
3x - x - 30 = 25
\]

This simplifies to:

\[
2x - 30 = 25
\]

3. Now, add 30 to both sides to isolate the term with \( x \):

\[
2x = 25 + 30
\]

\[
2x = 55
\]

4. Finally, divide both sides by 2 to solve for \( x \):

\[
x = \frac{55}{2}
\]

\[
x = 27.5
\]

Thus, the number is \( x = 27.5 \).