Dart Games
Alice and Johnathon are playing a game in which they are throwing darts at a special dartboard. This dartboard gives contestants 178 points for hitting the red section and 295 points for hitting the white section. Considering that both contestants have good enough aim to hit the dartboard, what is the MAXIMUM non-attainable score in this game?
The answer is 52037.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
There is a formula for the maximum non-attainable number when there are 2 numbers that are relatively prime. The formula is (m*n) - (m+n). An alternative way to solve this is to keep finding different sums until you see the numbers continue to plateau out. This is hard method as the numbers are very big, but a very viable solution when working with small counting numbers eg. 5, and 12.