perplexus.info :: Just Math : Celsius Fahrenheit Check

Celsius Fahrenheit Check (Posted on 2015-01-13)

S(x) denotes the sum of squares of the digits. For example:
S(97) = 9² + 7² = 130.

Find all possible positive integer values of N < 2014 such that:
N ^oF= (S(N) - 5) ^oC

N.B.: F = (9/5)*C + 32

*** As an extra challenge, solve this puzzle using a non computer program assisted method.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

N=185
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
	not taking up the extra challenge--(spoiler)	Charlie	2015-01-13 14:38:01

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