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AOUT and TUOA (Posted on 2024-01-19) Difficulty: 3 of 5
            A O U T      T U O A
          + A T A O    - U * T T
          ----------   ----------
            T U * U      O * T *
Can you solve these addition and subtraction problems, knowing that AOUT as well as it's reverse TUOA is a prime number?

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
There are 84 4-digit reversable primes with unique digits (42 pairs).
But only one value of AOUT works. 3527 + 3735 = 7262 solves the addition 7253 - 2077 = 5176 solves the subtraction or 7253 - 2177 = 5076 solves the subtraction AOUT found: 3527
For an explanation, refer to the solution submitted by Larry in this location.
xdog has also submitted an analytic solution in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
solutionxdog2024-01-19 19:43:07
SolutionsolutionLarry2024-01-19 12:13:42
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