Ivan had a total of 118 pomegranates and mangosteens. He sold ³₄ of the mangosteens and bought another 36 pomegranates. In the end, the number of pomegranates he had was ²₃ the number of mangosteens. How many more mangosteens than pomegranates did he have at first?

	Pomegranates	Mangosteens	Total
Before	2 u - 36	4x3 = 12 u	118
Change	+ 36	- 3x3 = 9 u
After		1x3 = 3 u
Comparing between pomegranates and mangosteens	2x1 = 2 u	3x1 = 3 u

The number of mangosteens in the end is repeated. Make the number of mangosteens in the end the same. LCM of 1 and 3 is 3.

Total number of pomegranates and mangosteens at first
= 2 u - 36 + 12 u
= 14 u - 36

14 u - 36 = 118
14 u = 118 + 36
14 u = 154

1 u = 154 ÷ 14 = 11

Number of more mangosteens than pomegranates at first
= 12 u - (2 u - 36)
= 12 u - 2 u + 36
= 10 u + 36
= 10 x 11 + 36
= 110 + 36
= 146

Answer(s): 146