# Puzzler Answer (Fahrenheit to Celcius) **URL:** \ **Category:** Maintenance/Repairs\ **Created:** [April 26, 2010, 12:44am UTC](https://community.cartalk.com/t/puzzler-answer-fahrenheit-to-celcius/47972 "2010-04-26T00:44:12Z")\ **Posts on this page:** 2\ **Page:** 1
**Author:** ![rajesh06](https://avatars.discourse-cdn.com/v4/letter/r/ee59a6/32.png) [@rajesh06](https://community.cartalk.com/u/rajesh06)\ **Post date:** [April 26, 2010, 12:44am UTC](https://community.cartalk.com/t/puzzler-answer-fahrenheit-to-celcius/47972/1 "2010-04-26T00:44:12Z")
Tom and Ray said that there was no algebraic solution to this puzzler. But there is. Here is the condensed version: Variable Description Domain F1 Fahrenheit Temp: 10s digit integer F2 Fahrenheit Temp: 1s digit integer (1,2) F3 Fahrenheit Temp: Decimal [0,1) C1 Celcius Temp: 10s digit integer (1,2) C2 Celcius Temp: 1s digit integer Identities F = 10_F1 + F2 + F3_ _C = 10_C1 + C2 F1 = C2 F2 = C1 F = 1.8C + 32 solve for F1 F1 = (17F2 - F3 + 32) / 8.2 F2 = 1 F1 = 5.97560975609756 --\> 6 F2 = 2 F1 = 8.04878048780488 --\> 8 check F C 61 16 82 27 ---
**Author:** ![rajesh06](https://avatars.discourse-cdn.com/v4/letter/r/ee59a6/32.png) [@rajesh06](https://community.cartalk.com/u/rajesh06)\ **Post date:** [April 26, 2010, 12:48am UTC](https://community.cartalk.com/t/puzzler-answer-fahrenheit-to-celcius/47972/2 "2010-04-26T00:48:12Z")
Sorry - wrong forum