~\uline{~~~~~~~~~~}~$\div 9=6$ $\text{R}$~\uline{~~~~~~~~~~}~  Greatest possible remainder is $8$ while smallest possible remainder is $1$.  Greatest possible number of sweets is $$9\times 6+8=62$$, while the least possible number of sweets is $$9\times 6+1=55$$. 
Teacher Nicole bought some sweets and divided it equally among $9$ children. If everyone got $6$ sweets, there would still be some sweets remaining. What is the most number of sweets Teacher Nicole could have bought? What is the least number of sweets Teacher Nicole could have bought? 
Options:
1. $$63$$，$$54$$ 
2. $$63$$，$$55$$ 
3. $$62$$，$$54$$ 
4. $$62$$，$$55$$ 