These highways signs are in Alpine, Texas.

The highway signs say...

+--------+ | South | | US 67 | +--------+ +--------+ +--------+ | West | | North | | US 90 | | US 67 | +--------+ +--------+ +--------+ +--------+ | North | | East | | TX 118 | | US 90 | +--------+ +--------+MathBabbler didn't have any BARS from Texas; therefore, he used his collection of math functions to create this pseudo-BARS.

the numbers are: 67 67 90 90 118 trivial math: 118 * (90 - 90) + 67 = 67 more math... sum_proper_divisors(90) = 144 sum_prime_factors(90) = 13 sum_proper_divisors(118) = 62 mult_digits(67) = 42 the numbers are: 67 42 144 13 62 the math is: sqrt(67 - 42) + sqrt(62 - 13) = sqrt(144) observe... 67 - 42 = 25 sqrt(25) = 5 62 - 13 = 49 sqrt(49) = 7 5 + 7 = 12 sqrt(144) = 12 more math... split_into_squares_sum(118) = { 100, 9, 9 } the numbers become: 67 67 90 90 100 9 9 the math is: sqrt(67 + 67 + sqrt(100)) - sqrt(90 - 9) = sqrt(sqrt(90 - 9)) observe... sqrt(100) = 10 67 + 67 + 10 = 144 sqrt(144) = 12 90 - 9 = 81 sqrt(81) = 9 sqrt(9) = 3 [solve for 'n] 118 * (90 - 90) + n = n

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

**Created:** 27 April 2008

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