Question

determinati   cel  mai  mic  nr  natural     care   impartit la  6,8,7,9,  da  resturile 5,6,7,8,

Answer 1

x:6=c si r=5⇒ ⇒x=6c+5  ⇒x+1=6c+6
x:7=c si r=6    ⇒x=7c+6⇒  x+1=7c+7
x:8=c si r=7   ⇒x=8c+7 ⇒  x+1=8c+8
x:9=c si r=8⇒   x=9c+8 ⇒  x+1=9c+9

x+1∈M[6,7,8,9]
6=2·3
8=2³
9=3²
[6,7,8,9]=504
M[504]={504, 1008.....}
x+1=504
x=504-1=503
cel mai mic nr.este 503
503:6=83 rest 5
503:7=71 rest 6
503:8=62 rest 7
503:9=55 rest 8