Lucy had 1/3 the money that Aaron had. After that Aaron spent $45 and Lucy's mother gave her $6. Aaron still had $3 more than Lucy. How much money did Lucy have at first?
=> Let x is the money Lucy had.
=> So, Aaron had 3x money
Given: (3x - 45) = x + 6 + 3
3x - 45 = x + 9
3x - x = 9 + 45
2x = 54
x = 54/2 = $27