Question

in a game of simplified football a touchdown results in 7 points and a field goal results in 3 point. what is the largest score for a team not possible?

Answer 1

Cannot be multiple of 7 or 3. How high do you want to go?

Answer 2

11. Proved because once u get 3 possible scores in a row, all higher scores are possible by adding 3 to a lower score

Answer 3

Scores not possible are:
1,2,4,5,8,11....and then what?
12 = 4 x 3
13 = 7+3+3
14= 7 x 2
and every number higher has to be possible because we have 12, 13, and 14 possible, and any higher number can be obtained by adding 3 to any of these 3.
So, 11 is the highest number that is not possible.