Question

Nr 1507, 364 , 458 impartite la acelasi nr natural x dau respectiv resturilr 7,4,8. Det x.

Answer 1

1507/x=y rest 7=>.1507-7/x=y      =>1500=xy
364/x =z rest 4 =>364-4/x=z         =>360=xz

458/x =m rest 8 =>458-8/x=m         =>450=xm
rezulta x poate orice nr care se imparte exact la1500,360 si450 exemplu
x=5
1507/5=300rest7
364/5=72 rest 4
458/5=90 rest 8
x poate fi 5,10,15,20,30,60,