perplexus.info :: Just Math : Temperature Temperament IV

Temperature Temperament IV (Posted on 2022-01-03)

Find all possible pair(s) (A, B) of positive base 10 digits satisfying this relationship:

(B/A)^o Celsius = (AB)^o Fahrenheit, where AB denotes the concatenation of digits.

Provide valid reasoning for your answer.

*** It may be noted that F = (9/5)*C+32, wher C denotes degree(s) Celsius and F denotes degree(s) Fahrenheit.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(A,B) = (5,3)
For an explanation, refer to the solution submitted by Charlie in this location., where he has extended the problem to where B itself might be the concatenation of two digits.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: No Subject	K Sengupta	2022-01-24 12:04:40
No Subject	Seth Morris	2022-01-24 11:50:14
computer solution	Charlie	2022-01-03 11:05:09

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info