Question

Xian and his cousin Kai both collect stamps. Xian has 56 stamps and Kai has 80. The boys recently joined different stamp collecting clubs. Xian's club will send him 12 new stamps per month. Kai's Club will send him 8 new stamps per month. After how many months will Xian and Kai have the same number of stamps? How many will each have?

Answer 1

Let the number of months Xian and Kai will have the same number of stamps be x, then
56 + 12x = 80 + 8x
12x - 8x = 80 - 56
4x = 24
x = 24/4 = 6

Therefore, after 6 months Xian and Kai will have the same number of stamps.