1.
n:6=c1 rest 4 => n=6•c1+4
n:8=c2 rest 6 => n=8•c2+6
n:9=c3 rest 7 => n=9•c3+7
n+2=6(c1 +1)=8(c2 +1)=9(c3 +1)
n+2=[6,8,9]=72
=> n=70
2.
3167:n=c1 rest 17 => 3167=n•c1+17; n•c1=3160
4273:n=c2 rest 23 => 4273=n•c2+23; n•c2=4250
2481:n=c3 rest 31 => 2481=n•c3+31; n•c3=2450
n=(3150, 4250, 2450) si n>31, impartitorul> restul
n=50