3 sets of english, hindi and maths books have to be stacked in such a way that all the books are stored topic wise in such a way that height of each stack are same. Number of english books is 96, no. of hindi books is 240 and no. of maths books is 336. Assuming that the all books are of same thickness, determine the stack of english, hindi and math books
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Answered by
572
(Note that to answer this question we need to find the HCF to find the maximum no. of books in each stack.)
The number of English, Hindi and Math books are 96, 240 and 336 respectively
So, we need to find the H.C.F of 96, 240 and 336
HCF of the three numbers is 48.
Now divide the three numbers by the HCF to obtain the no. of stack of all the three books.
No. of stack of English book: 96/48 = 2 No. of stack of Hindi book: 240/48 = 5 No. of stock of Math book: 336/48 = 7
The number of English, Hindi and Math books are 96, 240 and 336 respectively
So, we need to find the H.C.F of 96, 240 and 336
HCF of the three numbers is 48.
Now divide the three numbers by the HCF to obtain the no. of stack of all the three books.
No. of stack of English book: 96/48 = 2 No. of stack of Hindi book: 240/48 = 5 No. of stock of Math book: 336/48 = 7
Answered by
451
aloha user!!
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thank you for asking this question.
here is the answer.
there are 3 sets of english, hindi and maths books which have to be stacked in such a way that the height of each stack is same.
there are 96 english books.
240 hindi books.
336 maths books.
first we will find HCF of 96, 240 and 336.
prime factorization:
96= 2 x 2 x 2 x 2 x 2 x 3
240= 2 x 2 x 2 x 2 x 3 x 5
336= 2 x 2 x 2 x 2 x 3 x 7
HCF = 2 x 2 x 2 x 2 x 3
HCF = 48
now we are going to divide the total number of books of each subject by the HCF which is 48.
english books ( number of stacks ) = 96/ 48 = 2
hindi books ( number of stacks ) = 240/ 48 = 5
maths books ( number of stacks ) = 336/ 48 = 7
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hope it helps :^)
-----------------
thank you for asking this question.
here is the answer.
there are 3 sets of english, hindi and maths books which have to be stacked in such a way that the height of each stack is same.
there are 96 english books.
240 hindi books.
336 maths books.
first we will find HCF of 96, 240 and 336.
prime factorization:
96= 2 x 2 x 2 x 2 x 2 x 3
240= 2 x 2 x 2 x 2 x 3 x 5
336= 2 x 2 x 2 x 2 x 3 x 7
HCF = 2 x 2 x 2 x 2 x 3
HCF = 48
now we are going to divide the total number of books of each subject by the HCF which is 48.
english books ( number of stacks ) = 96/ 48 = 2
hindi books ( number of stacks ) = 240/ 48 = 5
maths books ( number of stacks ) = 336/ 48 = 7
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hope it helps :^)
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