Question

determinati cel mai mic nr nat care impartit pe rand la 14,21 si 35 da de fiecare data restul 6 si caturi nenule

Answer 1

Fie x cel mai mic nr natural

x:14=c1 rest 6 => x=14•c1+6
x:21=c2 rest 6 => x=21•c2+6
x:35=c3 rest 6 => x=35•c3+6

=>14•c1+6=21•c2+6=35•c3+6 =>

14•c1=21•c2=35•c3
x=cel mai mic nr natural => x=cel mai mic multiplu comun al nr 14,21,35

14=2•7
21=3•7
35=5•7
_______

[14,21,35]=2•3•5•7=6•35=210
x=210