All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Equal Temperatures (Posted on 2016-10-31) Difficulty: 3 of 5
Find all pairs (A,B) of nonzero integers such that:

(80/A)o Fahrenheit = (80/B)o Celsius.

*** F = 9*C/5 + 32, where F and C respectively represents Fahrenheit and Celsius scales of temperatures.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
No Subject | Comment 1 of 6
Substitution leads to (2A-5)(2B+9)=-45.

By terms of the problem only (2A-5) can be negative, so solutions are (A,B)=(1,3), (2,18).

  Posted by xdog on 2016-10-31 08:20:01
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information