Puzzles & Quizzes

The Impossible Football Game Math Puzzle

Can you solve the impossible American football game math problem? Here's the problem: Suppose A-B is an impossible American football game score. What are the values and A and B? Consider the values that maximize A+B-in other words, find the largest possible values of A and B that make the score impossible. There is only one combination that is correct. Consider the rules of American football to help you solve: a safety or returned two-point conversion gains two points; a field goal gains three points; a touchdown gains six points; a touchdown and a one-point conversion gains seven points; and a touchdown and a two-point conversion gain eight points. What is the maximum impossible score of an NFL football game?

Key Facts In This Video

  1. An American football team can score 2, 3, 6, 7, or 8 points at a time. 00:28

  2. If a and b are relatively prime, then the largest possible score is ab-a-b. 01:53

Written by Curiosity Staff December 23, 2015

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