Logic Puzzles · Billy-B
Logic Puzzle #37
From Billy-B's legendary 1001 Puzzle Collection — preserved on Puzz.com since 1998.
Puzzle #37
If you take 7, then 17, & then 8 from me, you have 160. But if you take 6, then 17, then 8 from me, you have 170. Finally, if you take 1, then 4, then 1 from me, you have 762. What am I?
Reveal Answer
This was a tricky problem — The answer is 17625. In the first situation, you take 7, which leaves you with 1625 (taking the in the sense of removing it, & not subtracting it from the number as a whole), subract 17, & you have 1608, then take 8, which leaves you with 160. For the second situation, you take 6 from 17625, which leaves you with 1725. Subtract 17, & you now have 1708, & if you remove the 8, you have 170. In the last situation, remove 1, so you have 7625. Subtract 4, & you have 7621. Remove the 1, & you have 762. This may be the most difficult puzzle on the quiz by far!
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