Rachel and Alice have some candy. If Rachel gives Alice $10$ pieces of candy, then they would have the same number of candy. However, if Alice gives Rachel $10$ pieces of candy, Rachel will have $4$ more than $3$ times that of candy Alice has. 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