Question

bunica imparte nepotilor sai alune. daca le da cate 12,16,18 ,de fiecare data ii raman 5 alune . aflati cate alune are bunica ,stiind ca nr alunelor este cel mai mare nr nat de 3 cifre care indeplineste conditiile problemei

Answer 1

notam n numarul alunelor
n=12xa+5=16xb+5=18xc+5
n-5=12a=16b=18c
n-5=M [12,16,18]=M 144
n-5 poate fi 144,2x144,3x144..., dar e cel mai mare posibil cu 3 cifre
n-5<1000
6x144<1000<7x144
864<1000<1008
deci n-5=6x144
n-5=864
n=869 alune