Question

Three sets of English,hindi,maths books have to be stacked in such a way that all the books are stored topicwise and the maximum height of each stack is the same. The number of English books is 96,the number of hindi books is 240,the number of maths books is 336.Assuming that the books are of the same thickness ,determine the number of stacks of English, hindi and maths books

Answer 1

HEY FRIEND

HERE IS YOUR ANSWER

96=2×2×2×2×2×3

240=2×2×2×2×3×5

336=2×2×2×2×3×7

HCF=2×2×2×2×3=48

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No. of stacks of English books :
=96/48
=2

No. of stacks of Hindi books :
=240/48
=5

No. of stacks of maths books :
=336/48
=7

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HOPE THIS HELPS YOU ☺

Answer 2

In order to arrange the books , we must find the HCF of 96, 240 & 336.
By doing the prime factorisation of the above numbers we get,
96=2×2×2×2×2×3
96=2^5×3

240=2^4×3×5

336=2^4×3×7

HCF (96,240&336)=2^4×3=48
So there must be 48 books in each.

Now,
Number of stacks in English books
=96/48
=2
Number of stacks in Hindi books
=240/48
=5
Number of stacks in maths books
=336/48
=7