Final answer:
The correct equation representing the given statement is option a) 2x - 60 = 4x - 12.
Step-by-step explanation:
The equation that represents 60 less than twice a number equals 4 times the same number reduced by 12 is 2x - 60 = 4x - 12. To arrive at this, we start by expressing 'twice a number' as 2x and '60 less than as a subtraction, hence 2x - 60. Similarly, '4 times the number' is 4x, and 'reduced by 12' translates to -12, giving us the other side of the equation, 4x - 12. Therefore, the correct equation that represents the given statement is an option a) 2x - 60 = 4x - 12.