Anumber is 5 times of another number. by adding 8 to each of them. the first number becomes 3 times the second number. what are the 2 numbers? (show full workout)

Second number - n
First number- 5 times of another number - 5n

Adding 8 to each number:
n+8
5n + 8

First number becomes 3 times the second number:
5n + 8 = 3(n + 8)

5n + 8 = 3n + 24
2n = 16
n = 8  is a second number

5n = 5*8 = 40 is a first number 

Numbers are 40 and 8.