These road signs are on northbound I-95 in Bangor, Maine.

The road signs say...

+--------------+ +-----------------------+ | North | | Exit 182B | | I-95 ME-15 | | To US-2 ME-100 West | | Orono | | Hermon | | Houlton | | 1/4 mile | +--------------+ +-----------------------+ +-----------------------------+ | Exit 182A | | South | | I-395 ME-15 to US-1A ME-9 | | Bangor - Brewer | +-----------------------------+the numbers are: 95 15 182 2 100 1/4 182 395 15 1 9 the math is: sqrt(9) * sqrt(15 + 15 + (2 + 1) / sqrt(1/4)) - sqrt((182 + 182) - (395 - 95)) = sqrt(100) observe... sqrt(9) = 3 (2 + 1) = 3 sqrt(1/4) = 1/2 3 / 1/2 = 3 * 2 = 6 15 + 15 + 6 = 36 sqrt(36) = 6 182 + 182 = 364 395 - 95 = 300 364 - 300 = 64 sqrt(64) = 8 3 * 6 - 8 = 18 - 8 = 10 sqrt(100) = 10 [solve for 'n'] sqrt(9) * n - sqrt((182 + 182) - (395 - 95)) = sqrt(100) solution: n = sqrt(15 + 15 + (2 + 1) / sqrt(1/4))RoadHacker took a picture of these road signs because he saw two numbers that were duplicated. 182 and 15 both occur twice; therefore, the math could be trivialized as follows.

(182 - 182) = (15 - 15) * (whatever) i.e. 0 = 0 * (whatever) What's whatever? The remaining numbers can be used in any arithmetic expression with the exception of an expression that results in a divide-by-zero. example: 0 = 0 * (sum the remaining numbers) 0 = 0 * (95 + 2 + 100 + 1/4 + 395 + 1 + 9) 0 = 0 * ( n ) error: 0 = 0 * (95 + 100 + 1/4 + 395) / (sqrt(9) - 2 - 1) 0 = 0 * ( n ) / ( 3 - 2 - 1) 0 = 0 * n / 0 0 = 0 / 0 divide-by-zero is an error

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 12 August 2007

This work is licensed under a Creative Commons Attribution 3.0 United States License.