10% of Oscar's savings was $32 more than 40% of Ken's savings. After Oscar spent ¹₂ of his savings and Ken spent 40% of his savings, Ken had $272 less than Oscar. How much was Ken's saving at first?

	Ken	Oscar
Before	5 u	20 u + 320
Change	- 2 u	- 10 u - 160
After	3 u	10 u + 160
Comparing Ken and Oscar in the end		272 more

10% = ¹⁰₁₀₀ = ¹₁₀

40% = ⁴⁰₁₀₀ = ²₅

¹₁₀ Oscar = ²₅ Ken + 32 

Make the numerators the same. LCM of 1 and 2 is 2.
 
1x210x2 Oscar = 2x15x1 Ken + 32 
220 Oscar = 25 Ken + 32 

Simplify the fractions.
¹₂₀ Oscar = ¹₅ Ken + 16

Let ¹₅ Ken be 1 u.

Ken's savings at first = 5 u

¹₂₀ Oscar = ¹₅ Ken + 16
Let ¹₂₀ Oscar be 1 u + 16.

Oscar's savings at first
= 20 x (1 u + 16) 
= 20 u + 320

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

Savings that Oscar spent 
= ¹₂ x (20 u + 320)
= 10 u + 160 

Ken had $272 less than Oscar in the end. If another $272 was given to Ken, the amount that each had in the end would be the same.

10 u + 160 = 3 u + 272 
10 u - 3 u = 272 - 160
7 u = 112

1 u = 112 ÷ 7 = 16

Savings that Ken had at first
= 5 u 
= 5 x 16
= $80

Answer(s): $80