Question

Bunica imparte nepotilor sai alune.Daca le da cate 12,16sau cate 18 ,de fiecare data ii raman 5 alune.Aflati cate alune are bunica stiind ca nr. alunelor este cel mai mare nr natural de 3 cifre care indeplineste coniitile problemei

Answer 1

notam n - nr alunelor
n=12xa+5=16ab+5=18xc+5
n-5=12xa=16xb=18xc
n-5=M [12,16,18]=M 144;  144x6=864;  144x7=1008>1000;   
n-5=864
n=869 alune