25% of Japheth's savings was $51 more than 30% of George's savings. After Japheth spent ¹₃ of his savings and George spent 40% of his savings, George had $144 less than Japheth. How much was George's saving at first?

	George	Japheth
Before	10 u	12 u + 204
Change	- 4 u	- 4 u - 68
After	6 u	8 u + 136
Comparing George and Japheth in the end		144 more

25% = ²⁵₁₀₀ = ¹₄

30% = ³⁰₁₀₀ = ³₁₀

¹₄ Japheth = ³₁₀ George + 51 

Make the numerators the same. LCM of 1 and 3 is 3.
 
1x34x3 Japheth = 3x110x1 George + 51 
312 Japheth = 310 George + 51 

Simplify the fractions.
¹₁₂ Japheth = ¹₁₀ George + 17

Let ¹₁₀ George be 1 u.

George's savings at first = 10 u

¹₁₂ Japheth = ¹₁₀ George + 17
Let ¹₁₂ Japheth be 1 u + 17.

Japheth's savings at first
= 12 x (1 u + 17) 
= 12 u + 204

Savings that George spent
= 40% x 10 u
= ⁴⁰₁₀₀ x 10 u
= 4 u

Savings that Japheth spent 
= ¹₃ x (12 u + 204)
= 4 u + 68 

George had $144 less than Japheth in the end. If another $144 was given to George, the amount that each had in the end would be the same.

8 u + 136 = 6 u + 144 
8 u - 6 u = 144 - 136
2 u = 8

1 u = 8 ÷ 2 = 4

Savings that George had at first
= 10 u 
= 10 x 4
= $40

Answer(s): $40