1424 and 2243 are numbers in base 5. add these numbers as it relates to the base 5 system

In the "ones" place,

4₅ + 3₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅

(a number in base 5 can only consist of the digits 0-4; anything larger, which I wrap in parentheses, needs to be split up further)

In the "tens" place, we carry over the 1 from the previous sum:

2₅ + 4₅ + 1₅ = (7)₅ = 12₅

In the "hundreds" place,

4₅ + 2₅ + 1₅ = (7)₅ = 12₅

In the "thousands" place,

1₅ + 2₅ + 1₅ = 4₅

So, we have

1424₅ + 2243₅ = 4222₅