If 2 is the greatest number that will divide evenly into both x and y, ... ...

If 2 is the greatest number that will divide evenly into both x and y, what is the greatest number that will divide evenly into both 5x and 5y?
(A)    2
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set F: Number Theory

 
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If 2 is the greatest number that will divide evenly into both x and y, ... ... 
Posted: 06/02/2016 00:26
I'm baffled, why you put x=2z?
As question said 2 will evenly divided the number into 5x&5y,
then 2=1x:1y
>5*1:5*1
>5+5=10.
I got the answer right but don't understand how you did that.