BARS::US Highways 67 and 90 in Alpine, Texas

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

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