Question

DAU COROANA.
Aflati numerele mai mici decat 280 care impartite la 24,36 si 72 dau acelasi rest ,11 si catul diferit de zero.

Answer 1

x: 24 = c1 rest 11 - x =24 × c1+ 11 |-11
y÷ 36 = c2 rest 11 - y=36 c2 +11 |-11
z ÷ 72 = c3 rest 11 - z= 72 c3 +11 |-11

x-11 = 24 c1 => x € M 24
y-11 = 36 c2=> y € M 36
z-11=72 c3 => z € M 72

acum le imparti si afli c.m.m.m.c iar dupa scrii :
exemplu: x-11€ M 24 ( c.m.m.m.c)
=> x €{0,24,48,72,96,120,144,168,192 etc. } + 11 => x
€{11,35,59,83,107,131,155,179,203 etc. }

y-11 € M 36 (c.m.m.m.c) => y € { 0,36,72,108 etc} => y+11 €{11,47,83,119 etc}

z-11 € M 72 (c.m.m.m.c) => z € { 0,72,144,216 } => +11 z €{11,83,155,227 }
GATA!!!!

sper ca bine! succes in continuare