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 previous step. Start by thinking things through. Simplify furiously. use brackets where appropriate. End with precision.

### 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:
 Provide response in all capital letters, no lowercase letters allowed.
user