In the subtraction shown, $M$ and $N$ each represent a single digit. What is the value of $M+N$ ?
(A) 14
(B) 12
(C) 15
(D) 13
(E) 11

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-105.jpg?height=228&width=241&top_left_y=217&top_left_x=1294)

Part B: Each correct answer is worth 6.
Solution 1

Looking at the numbers in terms of their digits, then $M 4-3 N=16$ or $M 4=3 N+16$.

In order to get a units digit of 4 from $3 N+16$, then $N$ must be an 8 .

Thus, $M 4=38+16=54$.

Therefore, the digit $M$ is a 5 , and so $M+N=5+8=13$.

## Solution 2

Looking at the numbers in terms of their digits, then $M 4-3 N=16$.

In order to get a units digit of 6 from $M 4-3 N$, then $N$ must be an 8 .

Thus, $M 4-38=16$ or $M 4=36+16=54$.

Therefore, the digit $M$ is a 5 , and so $M+N=5+8=13$.

ANSWER: (D)