A large novel is divided into a three-volume set. Volume one begins with page one with the pages being numbered consecutively from volume 1 through volume 3 (In other words, if the last page of volume 1 is 324, then the first page of volume 2 is 325). There are an equal number of pages in each volume. If the sum of the numbers of the first pages of each volume is 1674, how many pages does each volume have?
2007-12-05 01:51:23 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Let's say each volume has x pages.
First page of V1 = 1
First page of V2 = x+1
First page of V3 = 2x + 1
Sum = 3*(x+1) = 1674
x = 557
2007-12-05 01:58:48 · answer #1 · answered by Dr D 7 · 1⤊ 0⤋
Let P be the number of pages per volume.
1 + ( P + 1 ) + ( 2P + 1 ) = 1674
3P = 1671
P = 557
Vol 1 : pages 1 - 557
Vol 2: pages 558 - 1114
Vol 3: pages 1115 - 1671
1 + 558 + 1115 = 1674
2007-12-05 09:58:21 · answer #2 · answered by jgoulden 7 · 1⤊ 0⤋
557
2007-12-05 10:11:22 · answer #3 · answered by ADad 5 · 0⤊ 0⤋
1+(1+n)+(1+2n) = 1674
3+3n = 1674
3n = 1671
n = 558
2007-12-05 09:57:16 · answer #4 · answered by DWRead 7 · 0⤊ 1⤋
sophisticated problem. lookup in google or bing. just that can help!
2014-11-05 03:23:23 · answer #5 · answered by christopher 3 · 0⤊ 0⤋