Both Tom and Sean had an equal amount of savings at first. After Tom gave Sean 1/4 of his savings, Sean had $52 more than Tom. How much savings did both of them have altogether?
At first, Tom's savings = x and Sean's savings = x.
After Tom gave Sean 1/4 of his savings, Tom had x - 1/4x = 3/4x
and Sean had x + 1/4x = 5/4x
At this time, Sean had 52 more than Tom: Tom + 52 = Sean
---> 3/4x + 52 = 5/4x
52 = 2/4x ---> x = 104 (to start with)
Now, Tom has 3/4(104) = 78 and Sean has 5/4(104) = 130 for a total of 208.