Question

sa se afle numarul natural abcde care impartit la cde da catul ab +1 si restul ab +72​

Answer 1

abcde:cde= ab+1, rest ab+72

abcde=cde•(ab+1)+ab+72

ab•1000+cde=ab•cde+cde+ab+72        /-cde

ab•1000=ab(cde+1)+72

ab(1000-cde-1)=72

ab(999-cde)=72;  ab e nr de doua cifre

72=72•1=36•2=24•3=18•4=12•6

ab=72  si 999-cde=1 => cde=998

ab=36  si 999-cde=2 => cde=997

ab=24  si 999-cde=3=> cde=996

ab=18  si 999-cde=4=> cde=995

ab=12 si 999-cde=6=> cde=993

abcde={12993; 18995; 24996; 36997; 72998}