Liam and Harry had 106 stickers in total. Liam had 42 stickers less than Harry at first. After Liam and Harry played a game with Winnie, Liam had ⁵₁₂ as many stickers as Harry. If Liam lost as many stickers as Harry to Winnie, find the number of stickers that Harry lost to Winnie.

	Liam	Harry	Difference
Before	1 u	1 u + 42	42
Change	- ?	- ?
After	5 p	12 p	7 p

Total number of stickers at first
= 1 u + 1 u + 42 
= 2 u + 42

2 u + 42 = 106
2 u = 106 - 42
2 u = 64

1 u = 64 ÷ 2 = 32

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

Difference in the number of stickers in the end
= 12 p - 5 p
= 7 p

7 p = 42

1 p = 42 ÷ 7 = 6

Number of stickers that Liam lost to Winnie
= 1 u - 5 p
= 32 - 5 x 6
= 32 - 30
= 2

Since Harry lost the same number of stickers as Liam, the number of stickers that each lost to Winnie is the same.

Number of stickers that Harry lost = 2

Answer(s): 2