modular algebra
Number Theory
Level
3
if xy=k , k mod x = Y-4, k mod y = x -5, k mod (x+y)= xy- 2( x+y), then k= ???,
The answer is 20.
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1 solution
since xy=k, then k= 0= y-4-------( mod x), so y=4, k=0=x-5--------( mod y), so x =5, k= xy=5*4= 2 0