Exact Science - Problem of the Day - 112

112

A piece fell out of a book, where the first page is numbered 439 and the last page is numbered with the same digits in a different order. Determine the number of pages in the missing piece.

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Answer

496 pages (248 sheets).

SOLUTIOn

The first page is 439, and the last page has the same digits rearranged. Possible larger rearrangements are 493, 943, and 934.

Using the formula to calculate the number of pages:(Number of pages) = (last page - first page + 1) / 2.

For the last page 934:(Number of pages) = (934 - 439 + 1) / 2 = 248.

So, the missing piece has 248 pages.

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