10% of Harry's savings was $27 more than 30% of George's savings. After Harry spent ²₃ of his savings and George spent 40% of his savings, George had $126 less than Harry. How much was George's saving at first?

	George	Harry
Before	10 u	30 u + 270
Change	- 4 u	- 20 u - 180
After	6 u	10 u + 90
Comparing George and Harry in the end		126 more

10% = ¹⁰₁₀₀ = ¹₁₀

30% = ³⁰₁₀₀ = ³₁₀

¹₁₀ Harry = ³₁₀ George + 27 

Make the numerators the same. LCM of 1 and 3 is 3.
 
1x310x3 Harry = 3x110x1 George + 27 
330 Harry = 310 George + 27 

Simplify the fractions.
¹₃₀ Harry = ¹₁₀ George + 9

Let ¹₁₀ George be 1 u.

George's savings at first = 10 u

¹₃₀ Harry = ¹₁₀ George + 9
Let ¹₃₀ Harry be 1 u + 9.

Harry's savings at first
= 30 x (1 u + 9) 
= 30 u + 270

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

Savings that Harry spent 
= ²₃ x (30 u + 270)
= 20 u + 180 

George had $126 less than Harry in the end. If another $126 was given to George, the amount that each had in the end would be the same.

10 u + 90 = 6 u + 126 
10 u - 6 u = 126 - 90
4 u = 36

1 u = 36 ÷ 4 = 9

Savings that George had at first
= 10 u 
= 10 x 9
= $90

Answer(s): $90