Let the unknown number be represented by \( x \). According to the given parameters, we have:
Three times the difference of the number and 10 can be expressed as:
\[ 3(x - 10) \]
The sum of 25 and the same number can be expressed as:
\[ 25 + x \]
Setting these two expressions equal gives us the equation:
\[ 3(x - 10) = 25 + x \]
This is the equation that satisfies the parameters provided.