perplexus.info :: Just Math : Equal Temperatures

Equal Temperatures (Posted on 2016-10-31)

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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

3 -27 26.66666667 -2.96296296 4 -12 20.00000000 -6.66666667 5 -9 16.00000000 -8.88888889 7 -7 11.42857143 -11.42857143 10 -6 8.00000000 -13.33333333 25 -5 3.20000000 -16.00000000 -20 -4 -4.00000000 -20.00000000 -5 -3 -16.00000000 -26.66666667 -2 -2 -40.00000000 -40.00000000 1 3 80.00000000 26.66666667 2 18 40.00000000 4.44444444
For an explanation, refer to the solution submitted by Charlie in this here and here.

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

Subject	Author	Date
re(2): computer solution	Charlie	2016-10-31 19:19:55
re: computer solution	ken	2016-10-31 17:17:59
re(2): No Subject	xdog	2016-10-31 13:03:39
re: No Subject	Charlie	2016-10-31 11:54:31
computer solution	Charlie	2016-10-31 11:53:55
No Subject	xdog	2016-10-31 08:20:01

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