Julian and Ethan have some white files and some silver files. The number of silver files Julian has is equal to the number of white files Ethan has. ¹₃ of Julian's files are white and ²₃ of Ethan's files are silver. There are a total of 18 white files. Find the total number of files they have.

Julian		Ethan		Total
White	Silver	White	Silver
	1x2	1x2
1x1	2x1	1x2	2x2
1 u	2 u	2 u	4 u	9 u

The number of Julian's silver files and Ethan's white files is the same.

The number of Julian's silver files is repeated. The number of Ethan's white files is repeated.  Make the number of Julian's silver files and Ethan's white files the same.  LCM of 2 and 3 is 2.

Number of white files
= 1 u + 2 u
= 3 u

3 u = 18

1 u = 18 ÷ 3 = 6

Total number of files
= 1 u + 2 u + 2 u + 4 u
= 9 u
= 9 x 6
= 54

Answer(s): 54