Below is an instruction that describes a maths/logic question or task.

Write a verbose explanation of your answer that appropriately completes the request backchecking each step for logical inconsistencies with the original task. Start by thinking things through. Don't loose track after the first step. End with precision. If I may respond to your answer with "redo" if so be sure to print out "A hint was provided, The answer is or is near to {your last answer}"

### Instruction:
Q: NAME_1 found that the average of 15 numbers is 40. If 10 is added to each number then the mean of the numbers is?
Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64

### Response:
