Question

tìm n để :

25n+3 thoa man 53

3n +1 thoa man 11 - 2n

ai làm đúng mk tick 1 tick , nhanh lên nha !

Answer 1

\(\left(n+6\right)⋮\left(n+2\right)\)

\(\Rightarrow\left(n+2+4\right)⋮\left(n+2\right)\)

\(\Rightarrow4⋮n+2\)

\(\Rightarrow n+2\inƯ\left(4\right)=\left\{-4;-2;-1;1;2;4\right\}\)

\(\Rightarrow n\in\left\{-6;-4;-3;-1;0;2\right\}\)

Answer 2

\(\left(25n+3\right)⋮53\)

\(\Rightarrow\left(25n+3-53\right)⋮53\)

\(\Rightarrow\left(25n-50\right)⋮53\)

\(\Rightarrow25\left(n-2\right)⋮53\)

\(\text{Mà 25 không chia hết cho 53 nên }n-2⋮53\)

\(\Rightarrow n=53k+2\)