Fantastic Bunuel, great catch.
Is it the case that x/(x+y) or y/(x+y) will never be integer? Is this the right way to elimate C algebraically? Or how would you do so?
nechets wrote:
Wait a minute, picking numbers:
If x= 1 and y =1 , both positive integers, why this could not be the base case for C?
If x and y are positive integers, each of the following could be the greatest common divisor of 30x and 15y EXCEPT
A. 30x.
B. 15y.
C. 15(x + y).
D. 15(x - y).
E. 15,000.
If x=1 and y=1, then 30x=30 and 15y=15. The GCD of 30 and 15 is 15, while (C) gives 15(x+y)=30.
Hope it's clear.