perplexus.info :: Numbers : AOUT and TUOA

AOUT and TUOA (Posted on 2024-01-19)

            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
solution	xdog	2024-01-19 19:43:07
solution	Larry	2024-01-19 12:13:42

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