Simon and Howard had 66 stickers in total. Simon had 8 stickers less than Howard at first. After Simon and Howard played a game with Gillian, Simon had ¹₃ as many stickers as Howard. If Simon lost as many stickers as Howard to Gillian, find the number of stickers that Howard lost to Gillian.

	Simon	Howard	Difference
Before	1 u	1 u + 8	8
Change	- ?	- ?
After	1 p	3 p	2 p

Total number of stickers at first
= 1 u + 1 u + 8 
= 2 u + 8

2 u + 8 = 66
2 u = 66 - 8
2 u = 58

1 u = 58 ÷ 2 = 29

Since Simon lost the same number of stickers as Howard, the difference in the number of stickers between Simon and Howard at first and in the end remains the same.

Difference in the number of stickers in the end
= 3 p - 1 p
= 2 p

2 p = 8

1 p = 8 ÷ 2 = 4

Number of stickers that Simon lost to Gillian
= 1 u - 1 p
= 29 - 1 x 4
= 29 - 4
= 25

Since Howard lost the same number of stickers as Simon, the number of stickers that each lost to Gillian is the same.

Number of stickers that Howard lost = 25

Answer(s): 25