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Difficulty: 3 of 5 Latest: Temperature Reflection 2 Rating: 4.00
A and B are base-α digits from 1 to α-1. Determine all triplets (A,B,α) with 2 ≤ α ≤ 36 that satisfy this relationship:

(AB)base α degrees Celsius
= (BA)base α degrees Fahrenheit

Notes:
(1) F = (9/5)*C + 32base 10, where F denotes degree(s) Fahrenheit and C denotes degrees Celsius.
(2) Each of AB and BA denotes concatenation of digits.
(3) α is a positive integer.
(Solution Posted, 1 Comments) Submitted on 2022-01-19 by K Sengupta   
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