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Celsius- A Fahrenheit Multiple? (Posted on 2016-06-21) Difficulty: 3 of 5
Find all pairs (N, X) of integers such that:

Xo Celsius = N*Xo Fahrenheit

*** C = 5(F-32)/9, where C and F respectively denotes Celsius and Fahrenheit scales of temperature.

No Solution Yet Submitted by K Sengupta    
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Two solutions | Comment 2 of 7 |
C=5*(F-32)/9  
For F congruent 5 (mod 9) C will be an integer  (congruent to mod 5).
C/F will be integer when |C| higher or equal than |F|and F  also mod 5 
F=5 C=-15 N=-3
F =-40 C=-40 N=1

So N,X = (-3,-15) (1,-40)

Edited on June 21, 2016, 5:01 pm
  Posted by armando on 2016-06-21 16:51:02

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