1st week: g = 8; b = 7
2nd week: g = 8 + 2; b = 2g
If there are 10 girls by the second week, and the number of boys doubles that number, then there are 20 boys.
2nd week: b = 20
Now if 20 boys are present in the second week, that means that 13 boys joined in the second week as:
Boys Joining in 2nd Week = 20 - 7 (boys that went in the first week)
So 13 boys joined the club in the second week.