turkey-yks 2013 Q13

turkey-yks · Other · lys1-math Number Theory Congruence Reasoning and Parity Arguments
n is an integer greater than 1 and
$$\begin{aligned} & 73 \equiv 3 ( \bmod n ) \\ & 107 \equiv 2 ( \bmod n ) \end{aligned}$$
Given this, what is the sum of the possible values of n?
A) 39
B) 41
C) 47
D) 51
E) 54
n is an integer greater than 1 and

$$\begin{aligned}
& 73 \equiv 3 ( \bmod n ) \\
& 107 \equiv 2 ( \bmod n )
\end{aligned}$$

Given this, what is the sum of the possible values of n?\\
A) 39\\
B) 41\\
C) 47\\
D) 51\\
E) 54