Question

afla cate numere mai mici ca 1000 impartite la 5 dau restul 3 si impartite la 6 dau restul 4

Answer 1

a : 5 = x rest 3 ==> a = 5x+3 |+2 ==>
a : 6 = y rest 4 ==> a = 6y+4 |+2 ==>

==> a + 2 = 5×(x+1)
==> a + 2 = 6 ×(y+1)

a + 2 = c.m.m.m.c [5; 6]
a + 2 = 5 × 6
a + 2 = 30
a = 30 - 2 = 28 (numarul cautat)

28 : 5 = 5 rest 3
28 : 6 = 4 rest 4