If we assume that 11 meters = 12 yards, what is the smallest integral number of meters that can be converted to its equivalent integral number of yards simply by rearranging the order of the digits of the number?

What if we do the same with the actual exact equivalents?: 1143 meters = 1250 yards.

Then try your hand at 228 solar months = 235 lunar months (the 19-year Metonic cycle).

I was not able to find an elegant way to solve, but I think these answers are correct.  Method = spreadsheet.

First part: 11 m = 12 y

• 1683 m = 1836 y
• 5247 m = 5724 y
• 16830 m = 18360 y
• 26829 m = 29268 y
• 31284 m = 34128 y
• 52470 m = 57240 y
• 52371 m = 57132 y
• 53658 m = 58536 y
• 62568 m = 68256 y
• 80487 m = 87804 y

Second part:  1143 m = 1250 y

•  2582037 m  =  2823750 y
• 15903702 m = 17392500 y
• 20296251 m = 22196250 y

Third part:  228 sun-months = 235 moon-months

• 3389904 = 3493980

Posted by Leming on 2007-10-04 11:09:24