Final answer:
The correct equation representing the sum of 23 and twice a number equaling 65 is '23 + 2n = 65', which is option d.
Step-by-step explanation:
The equation to represent the sum of 23 and twice a number is 65 is 23 + 2n = 65. This equation is formed by taking the constant number 23, adding it to twice a variable number 'n', and setting this equal to 65. To find the value of 'n', we would solve for 'n' by subtracting 23 from both sides of the equation and then dividing by 2. Therefore, the correct equation from the given choices that represents this situation is option d) 23 + 2n = 65.