Zeph and Owen had 97 macarons altogether. After Zeph ate ¹₄ of his macarons and Owen ate 7 macarons, the number of macarons Owen had left was twice the number of macarons Zeph had left. How many more macarons did Owen have than Zeph at first?

	Zeph	Owen	Total
Before	4 u	6 u + 7	97
Change	- 1 u	- 7
After	3 u
Comparing Zeph and Owen in the end	1x3 = 3 u	2x3 = 6 u

The number of macarons that Zeph had in the end is the same. Make the number of macarons that Zeph had in the end the same.  LCM of 3 and 1 is 3.

Total number of macarons at first
= 4 u + 6 u + 7
= 10 u + 7

10 u + 7 = 97
10 u = 97 - 7
10 u = 90 

1 u = 90 ÷ 10 = 9

Number of macarons that Zeph had at first
= 4 u
= 4 x 9
= 36

Number of macarons that Owen had at first
= 97 - 36
= 61

Number of macarons that Owen had more than Zeph at first
= 61 - 36
= 25

Answer(s): 25