Xian and his cousin kai both collect stamps. xian has 64 stamps, and kai has 72 stamps. 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 stamps will each have? after __ months xian and his cousin will have each.

After  2 months Xian and his cousin will have 88 stamps each.

Explanation

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

Xian has 64 stamps, and Kai has 72 stamps. Xian's club will send him 12 new stamps per month and Kai's club will send him 8 new stamps per month.

So, the total number of stamps Xian will have after months

and the total number of stamps kai will have after months

As, they will have same number of stamps after months, so...

So, they will have same number of stamps after 2 months.

If , then....

and

So, each will have 88 stamps after 2 months.

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58