Question

Aflati nr mai mici decat 1500 care impartite la numerele 25,36 si 48 dau rescpectiv resturile : 13,18,63

Answer 1

x:25=C1 rest 13⇒x= 25*C1+13
x:36=C2 rest 18⇒x=36*C2+18
x:48=C3 rest 63⇒x=48*C3+63
calculam (25,36,48):
25=         5²
36=2² *3²
48=2⁴ *3
₋₋₋₋₋₋₋₋₋₋₋₋₋₋⇒
(25,36.48)=2² *3=12

x=25 *C1+13
x=25 * 12+13
x=300+13
x=313
x=36 *C2+18
x=36 *12+18
x=450
x=48 *C3+63
x=48 *12+63
x=639
raspuns: 313,450,639