There is a $$3$$-digit number, $$abc$$. The tens digit is larger than the hundreds digit by $$5$$.  The ones digit is smaller than the tens digit by $$2$$. Half the sum of the $$3$$ digits is the same as the tens digit. What is $$abc$$? 
Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value