Carl and Harry had 34 biscuits altogether. After Carl ate ¹₃ of his biscuits and Harry ate 8 biscuits, the number of biscuits Harry had left was five times the number of biscuits Carl had left. How many more biscuits did Harry have than Carl at first?

	Carl	Harry	Total
Before	3 u	10 u + 8	34
Change	- 1 u	- 8
After	2 u
Comparing Carl and Harry in the end	1x2 = 2 u	5x2 = 10 u

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

Total number of biscuits at first
= 3 u + 10 u + 8
= 13 u + 8

13 u + 8 = 34
13 u = 34 - 8
13 u = 26 

1 u = 26 ÷ 13 = 2

Number of biscuits that Carl had at first
= 3 u
= 3 x 2
= 6

Number of biscuits that Harry had at first
= 34 - 6
= 28

Number of biscuits that Harry had more than Carl at first
= 28 - 6
= 22

Answer(s): 22