ana are intr.un cos un numar de mere.Daca grupeaza cate 3 mere raman in cos 2 mere Daca grupeaza cate 4 raman in cos 3 mere iar daca grupeaza cate 6 mere raman in cos 5 mere
verifica daca in cos pot fi 59 mere
aflati numarul minim de mere ce pot fi in cos
x=numarul de mere x:3=a,r=2⇒x=3a+2⇒x+1=3a+3⇒x+1=3(a+1) x:4=b,r=3⇒x=4b+3⇒x+1=4b+4⇒x+1=4(b+1) x:6=c,r=5⇒x=6c+5⇒x+1=6c+6⇒x+1=6(c+1) Din toate cele trei relatii ⇒ x+1=[3,4,6] x+1 ∈M₁₂ x+1 ∈{0,12,24,36,48,60...} x∈{11,23,35,47,59...} R:x poate fi 59
