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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    
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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
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