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# Which 6-figure number becomes 3 times larger if the left hand digit is moved to the far right, but becomes five times larger if the rightmost digit is moved to the far left?

Question #38254. Asked by gmackematix. (Aug 31 03 9:47 PM)

TabbyTom

142,857

 Sep 01 03, 3:42 AM
Gnomon

It also becomes twice as large if the first two digits are moved to the end; four times as large if the last two digits are moved to the front; and six times as large if the first three digits are moved to the end.

 Sep 01 03, 9:35 AM
gmackematix

Yay! All because 142857/999999 = 1/7.

 Sep 01 03, 12:27 PM

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