10% of Sean's savings was $4 more than 40% of George's savings. After Sean spent ¹₂ of his savings and George spent 40% of his savings, George had $48 less than Sean. How much was George's saving at first?

	George	Sean
Before	5 u	20 u + 40
Change	- 2 u	- 10 u - 20
After	3 u	10 u + 20
Comparing George and Sean in the end		48 more

10% = ¹⁰₁₀₀ = ¹₁₀

40% = ⁴⁰₁₀₀ = ²₅

¹₁₀ Sean = ²₅ George + 4 

Make the numerators the same. LCM of 1 and 2 is 2.
 
1x210x2 Sean = 2x15x1 George + 4 
220 Sean = 25 George + 4 

Simplify the fractions.
¹₂₀ Sean = ¹₅ George + 2

Let ¹₅ George be 1 u.

George's savings at first = 5 u

¹₂₀ Sean = ¹₅ George + 2
Let ¹₂₀ Sean be 1 u + 2.

Sean's savings at first
= 20 x (1 u + 2) 
= 20 u + 40

Savings that George spent
= 40% x 5 u
= ⁴⁰₁₀₀ x 5 u
= 2 u

Savings that Sean spent 
= ¹₂ x (20 u + 40)
= 10 u + 20 

George had $48 less than Sean in the end. If another $48 was given to George, the amount that each had in the end would be the same.

10 u + 20 = 3 u + 48 
10 u - 3 u = 48 - 20
7 u = 28

1 u = 28 ÷ 7 = 4

Savings that George had at first
= 5 u 
= 5 x 4
= $20

Answer(s): $20