If I add to my number a number that is 17 more than twice my number, the sum will be 65. What is my number?

Let's break down the problem step by step to find the solution.

Step 1: Define the number
Let's represent the number with the variable "x".

Step 2: Determine the condition
According to the problem, if you add to your number a number that is 17 more than twice your number, the sum will be 65. So, we can write this equation as:

x + (2x + 17) = 65

Step 3: Solve the equation
To find the value of "x", let's solve the equation:

x + 2x + 17 = 65
Combine like terms:
3x + 17 = 65
Subtract 17 from both sides:
3x = 65 - 17
3x = 48
Divide both sides by 3:
x = 48 / 3
x = 16

Step 4: Find the solution
The value of "x" is 16. Therefore, your number is 16.

16

n + 2n + 17 = 65

3n = 48

n = ?