Let's denote the unknown number as \( x \). According to the given parameters, we need to set up the equation as follows:
Start by expressing the difference of the number and 10:
- The difference of a number \( x \) and 10 can be written as \( x - 10 \).
Now, according to the problem, three times this difference is equal to the sum of 25 and the same number:
- Three times the difference is: \( 3(x - 10) \).
- The sum of 25 and the same number is: \( 25 + x \).
Putting it all together, we can write the equation:
\[ 3(x - 10) = 25 + x \]
This is the equation that satisfies the parameters given in the problem.