There were between $100$ and $200$ children at a party.  At the party all the children were put into groups of $$8$$ to play a game. Three children had to sit out.  For another game they were put into groups of $$9$$. One child had to sit out.  How many children were at the party? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation