perplexus.info :: Just Math : Square Temperatures

Square Temperatures (Posted on 2016-06-29)

Each of M+N and M-N is a nonzero perfect square and:

M^o Celsius= N^o Fahrenheit

Find the smallest value of M+N. What is the next smallest value of M+N?

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

Submitted by K Sengupta

Rating: 3.0000 (2 votes)

Solution: (Hide)

Prima facie, the problem text is itself erroneous.
It should read as:
"Each of M+N and N-M is a nonzero perfect square and:
M^o Celsius= N^o Fahrenheit Find the smallest value of M+N. What is the next smallest value of M+N?br> *** F = 9*C/5 + 32, where F and C respectively represents Fahrenheit and Celsius scales of temperatures.
The smallest value of M+N is 144. The next smallest value is 1936.
For an explanation, refer to the solution submitted by Charlie in this location.

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

Subject	Author	Date
re: Assuming...	K Sengupta	2023-01-26 23:57:15
Assuming...	Charlie	2016-06-29 16:27:56
Is it correct?	armando	2016-06-29 16:17:00

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