Sam and Delilah are reading different books. Today, Sam and Delilah read one chapter in their respective books, and they each read more than once page. Intersetingly, they read the same number of pages, but the sum of the page numbers for the chapter Sam read was 880, and the sum of the page numbers for the chapter Delilah read was 1008. How many pages did Sam read today?
+118658 Sam and Delilah are reading different books. Today, Sam and Delilah read one chapter in their respective books, and they each read more than once page. Intersetingly, they read the same number of pages, but the sum of the page numbers for the chapter Sam read was 880, and the sum of the page numbers for the chapter Delilah read was 1008. How many pages did Sam read today?
I do not understand this quesion ???
I think you have some missing information in your question. However, I shall use "heuristics" to get some sort of a " solution". Since the GCD of 880 and 1008 is 16, the number of pages read by each should be 16 and satisfy two 2 arithmetic series, since the totals of all pages read form an AP. But 16 doesn't seem to work, because the AP gives the 1st term as part fraction, and you can't have a page number that begins with 55.5!!!!.
Therefore, by inspection, the number of pages that both read, is 32 pages. This satifies the 1st AP as follows:880=[2.F + (32-1).1]. 32/2, which gives the 1st term, F, or 1st page as No.12 and the last page as No.43.
It also satisfies the 2nd AP: 1008=[2.F + (32-1).1]. 32/2, which gives the 1st term,F, or the 1st. page as No. 16 and the last page as No. 47.
See, if somebody can come up with a better solution.
