The sum of nine times a number and three is 138. Find the number.


Let's denote the unknown number by \( x \).

The problem states: "The sum of nine times a number and three is 138."

This can be translated into the equation:

\[ 9x + 3 = 138 \]

To find \( x \), we need to solve this equation. Here are the steps:

1. Subtract 3 from both sides of the equation to isolate the term with \( x \):

\[ 9x + 3 - 3 = 138 - 3 \]

\[ 9x = 135 \]

2. Divide both sides by 9 to solve for \( x \):

\[ x = \frac{135}{9} \]

\[ x = 15 \]

So, the number is \( x = 15 \).

Would you like more details on this solution or have any questions?

Here are 5 more questions you might want to ask:
1. How do you solve linear inequalities?
2. Can you explain the quadratic formula?
3. What is the integral of \( x^2 \)?
4. How do you find the volume of a cylinder?
5. What is the difference between mean and median?

Tip: When solving linear equations, always aim to isolate the variable on one side of the equation using inverse operations.

Learn how to solve the equation 9x + 3 = 138 step-by-step to find the unknown number. This problem involves linear equations and is suitable for students in Grades 6-8.

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