Question

Three sets of English, Hindi, and Urdu books are to be
stacked in such a way that the books are stored subject wise
and the height of each stack is the same. The numbers of
English, Hindi and Urdu books are 336, 192 and 144 respectively. assuring that the books that same thickness,determine the number of stacks of English,Hindi,and Urdu books.​

Answer 1

Answer:

Hope it helps you

Step-by-step explanation:

In order to arrange the books as required, we have to find the largest number that divides 96,240 and 336 exactly. Clearly, such a number is their HCF.

We have,

96=2

5

×3,240=2

4

×3×5 and 336=2

4

×3×7

∴ HCF of 96,240 and 336 is 2

4

×3=48

So, there must be 48 books in each stack.

∴ Number of stacks of English books=

48

96

=2

Numberof stacks of Hindi books=

48

240

=5

Number of stacks of Mathematics books=

48

336

=7

Answer 2

Answer:

Number of stacks of English books = 7

Number of stacks of Hindi books = 4

Number of stacks of Urdu books = 3

Step-by-step explanation:

Given,

Number of English books = 336

Number of Hindi Books = 192

Number of Urdu books = 144

To find,

The number of stacks of English, Hindi, and Urdu books, if the books are arranged in subject wise with the same height​

Solution:

Since all the books are of the same thickness, the number of books in each stack can be determined by finding the HCF of the number of books

The prime factorization of 336 =  2⁴ × 3 × 7.

The prime factorization of 192 = 2⁶ × 3

The prime factorization of 144 = 2⁴ x 3²

Hence HCF of 336,192,144 = 2⁴× 3 = 48

Hence the number of books in each stack = is 48

Number of stacks of English books = $\frac{336}{48}$ = 7

Number of stacks of Hindi books = $\frac{192}{48}$ = 4

Number of stacks of Urdu books = $\frac{144}{48}$ = 3

∴ The number of stacks of English, Hindi, and Urdu books is 7,4,3 respectively.

#SPJ3