perplexus.info :: General : Year from Ratio

Year from Ratio (Posted on 2016-08-22)

S denotes the sum of the digits and P denotes the product of the nonzero digits.
It is observed that for the year 2016, S = 9 and P = 12, so that:
S:P = 3:4

Determine all years from 2000 to 3000 such that:
S:P = 3:4

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required list corresponding to all years from 2000 to 3000 is as follows:
year sod nonzero pod 2004 6 8 2016 9 12 2022 6 8 2040 6 8 2061 9 12 2106 9 12 2118 12 16 2160 9 12 2181 12 16 2202 6 8 2220 6 8 2400 6 8 2601 9 12 2610 9 12 2811 12 16

For an explanation, refer to the computer program assisted solution submitted by Charlie in this location.
For a semi-analytic solution, refer to the solution submitted by Jer in this location.

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

Subject	Author	Date
re: No Subject	Charlie	2016-08-23 19:52:39
No Subject	Ady TZIDON	2016-08-23 10:39:44
Solution	Jer	2016-08-22 12:48:50

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