问题: Help with a puzzle.
I have a ten volume collection of mathematical puzzles.Each volume contains the same number of puzzles and the puzzles are numbered consecutively throughout(so,for example,the number of the first puzzle in volume 2 is one more than that of the last puzzle in volume 1).Whilst browsing one night,I was particularly intrigued by puzzle number 351 in volume 5 and puzzle number 689 in volume 8.How many puzzles are there in each volume?
A 70
B 71
C 85
D 87
E more information needed
choose the right answer and explain why.
解答:
if there were 88,then puzzle 351 would be in volume 4,(88*4=352)
if there were 86,puzzle 689 would be in volume 9(86*8=688)
so the number of puzzles in each volume must be less than 88,and bigger than 86
the answer is 87
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