Rachel and Alice have some pieces of candy. If Rachel gives Alice $10$ pieces of candy, then they would have the same number of pieces. However, if they both eat $8$ pieces of candy, Rachel has $3$ times as many pieces of candy left over as Alice. How many pieces of candy did they have in total originally? 
Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple