Let $n$ and $k$ be positive integers. The value of $n _ { k }$ is defined as
- If $n$ is divisible by $k$, then $n _ { k } = \frac { n } { k }$ - If $n$ is not divisible by $k$, then $n _ { k } = 0$
Example: $$\begin{aligned} & 10 _ { 2 } = 5 \\ & 10 _ { 3 } = 0 \end{aligned}$$
Accordingly,
$$n _ { 2 } + n _ { 3 } = 10$$
what is the sum of the $n$ numbers that satisfy the equality?
A) 24 B) 28 C) 32 D) 36 E) 40
Let $n$ and $k$ be positive integers. The value of $n _ { k }$ is defined as

- If $n$ is divisible by $k$, then $n _ { k } = \frac { n } { k }$
- If $n$ is not divisible by $k$, then $n _ { k } = 0$

Example:
$$\begin{aligned}
& 10 _ { 2 } = 5 \\
& 10 _ { 3 } = 0
\end{aligned}$$

Accordingly,

$$n _ { 2 } + n _ { 3 } = 10$$

what is the sum of the $n$ numbers that satisfy the equality?

A) 24
B) 28
C) 32
D) 36
E) 40