### 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