George and Simon had 16 cupcakes altogether. After George ate ¹₃ of his cupcakes and Simon ate 2 cupcakes, the number of cupcakes Simon had left was twice the number of cupcakes George had left. How many more cupcakes did Simon have than George at first?

	George	Simon	Total
Before	3 u	4 u + 2	16
Change	- 1 u	- 2
After	2 u
Comparing George and Simon in the end	1x2 = 2 u	2x2 = 4 u

The number of cupcakes that George had in the end is the same. Make the number of cupcakes that George had in the end the same.  LCM of 2 and 1 is 2.

Total number of cupcakes at first
= 3 u + 4 u + 2
= 7 u + 2

7 u + 2 = 16
7 u = 16 - 2
7 u = 14 

1 u = 14 ÷ 7 = 2

Number of cupcakes that George had at first
= 3 u
= 3 x 2
= 6

Number of cupcakes that Simon had at first
= 16 - 6
= 10

Number of cupcakes that Simon had more than George at first
= 10 - 6
= 4

Answer(s): 4