Jay and Jack had the same amount of money at first. Jay gave $35 to his brother. Jack’s mother gave him another $25. The amount of money Jack had in the end was four times as much as the amount of money Jay had. How much money did each of them have at first?

Just take it step by step:

now:
Jays has x
Jack has x

Jay gives 35 to Jack, so
Jay has x-35
Jack has x+35

Jack gets 25 more from mom
Jay still has x - 35
Jack has x+60

at this point Jack has 4 times what Jay has
x+60 = 4(x-35)
x+60 = 4x - 140
-3x = -200
x = 200/3 or $66.67