Math, asked by MarilynEvans, 10 months ago

books in a library are stacked in such a way that they are stored subject wise and the stacks are of the same size. If there are 144 geography books, 384 history books and 240 economics books, in the library, in how many stacks can the books be arranged? ​

Answers

Answered by samir4934
33

Answer:

Number of geography books=144

Number of history books = 384

Number of economics books = 240

Number of book in each stack

= HCF of 144, 240 and 384

= 48

Number of stacks store geography book = 144/48

= 3 stacks

Number of stacks store history book

= 384/48

= 8 stacks

Number of stacks store economics book = 240/48

= 5 stacks

Total number of stacks = 3 + 5 + 8

= 16.

Answered by abhinaysachan38
6

Answer:

Step-by-step explanation:

Number of geography books=144

Number of history books = 384

Number of economics books = 240

Number of book in each stack

= HCF of 144, 240 and 384

144= 2×2×2×2×3×3

240=2×2×2×2×3×5

384=2×2×2×2×2×2×2×3

HCF- 2×2×2×2×3= 48

Number of stacks store geography book = 144/48

= 3 stacks

Number of stacks store history book

= 384/48

= 8 stacks

Number of stacks store economics book = 240/48

= 5 stacks

Total no. Of Stacks- 16

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