turkey-yks 2018 Q2

turkey-yks · Other · yks-ayt Number Theory Prime Number Properties and Identification
Let $x$, $y$ and $z$ be distinct prime numbers,
$$\begin{aligned} & x ( z - y ) = 18 \\ & y ( z - x ) = 40 \end{aligned}$$
the equalities are given.
Accordingly, what is the sum $\mathbf { x } + \mathbf { y } + \mathbf { z }$?
A) 17 B) 19 C) 21 D) 23 E) 25
Let $x$, $y$ and $z$ be distinct prime numbers,

$$\begin{aligned}
& x ( z - y ) = 18 \\
& y ( z - x ) = 40
\end{aligned}$$

the equalities are given.

Accordingly, what is the sum $\mathbf { x } + \mathbf { y } + \mathbf { z }$?

A) 17
B) 19
C) 21
D) 23
E) 25