To model the scenario given in the quote "400 reduced by twice my age is 262," we can set up the equation based on the information provided.
Let \( x \) represent the man's age. The phrase "400 reduced by twice my age" translates to \( 400 - 2x \). According to the statement, this is equal to 262. Therefore, the equation can be written as:
\[ 400 - 2x = 262 \]
So, the correct answer is:
400 - 2x = 262